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232142403121300 = 22527310496451859
BaseRepresentation
bin110100110010000111011101…
…011110011011000010010100
31010102221121010012202202110101
4310302013131132123002110
5220411410120144340200
62141420425302503444
766616510105045000
oct6462073536330224
91112847105682411
10232142403121300
1167a71049692991
1222052905134b84
139c6bc1c663a39
144147a762c1700
151bc8853a0826a
hexd321dd79b094

232142403121300 has 144 divisors (see below), whose sum is σ = 588022520400000. Its totient is φ = 79515794883840.

The previous prime is 232142403121219. The next prime is 232142403121313. The reversal of 232142403121300 is 3121304241232.

232142403121300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32754771 + ... + 39206629.

It is an arithmetic number, because the mean of its divisors is an integer number (4083489725000).

Almost surely, 2232142403121300 is an apocalyptic number.

232142403121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232142403121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294011260200000).

232142403121300 is an abundant number, since it is smaller than the sum of its proper divisors (355880117278700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232142403121300 is a wasteful number, since it uses less digits than its factorization.

232142403121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452943 (or 6452922 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 232142403121300 its reverse (3121304241232), we get a palindrome (235263707362532).

The spelling of 232142403121300 in words is "two hundred thirty-two trillion, one hundred forty-two billion, four hundred three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1049 1225 1372 1715 2098 2450 3430 4196 4900 5245 6860 7343 8575 10490 14686 17150 20980 26225 29372 34300 36715 51401 52450 73430 102802 104900 146860 183575 205604 257005 359807 367150 514010 719614 734300 1028020 1285025 1439228 1799035 2570050 3598070 5140100 6451859 7196140 8995175 12903718 17990350 25807436 32259295 35980700 45163013 64518590 90326026 129037180 161296475 180652052 225815065 316141091 322592950 451630130 632282182 645185900 903260260 1129075325 1264564364 1580705455 2212987637 2258150650 3161410910 4425975274 4516301300 6322821820 6768000091 7903527275 8851950548 11064938185 13536000182 15807054550 22129876370 27072000364 31614109100 33840000455 44259752740 47376000637 55324690925 67680000910 94752001274 110649381850 135360001820 169200002275 189504002548 221298763700 236880003185 331632004459 338400004550 473760006370 663264008918 676800009100 947520012740 1184400015925 1326528017836 1658160022295 2321424031213 2368800031850 3316320044590 4642848062426 4737600063700 6632640089180 8290800111475 9285696124852 11607120156065 16581600222950 23214240312130 33163200445900 46428480624260 58035600780325 116071201560650 232142403121300