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101232003120 = 24352322138287
BaseRepresentation
bin101111001000111100…
…1011100100000110000
3100200022000212120210220
41132101321130200300
53124310343044440
6114301053053040
710212423554223
oct1362171344060
9320260776726
10101232003120
1139a289102a6
1217752487180
139713b2a881
144c849215ba
1529774978d0
hex1791e5c830

101232003120 has 160 divisors (see below), whose sum is σ = 327651028992. Its totient is φ = 25806713856.

The previous prime is 101232003107. The next prime is 101232003151. The reversal of 101232003120 is 21300232101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101232003120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12211617 + ... + 12219903.

Almost surely, 2101232003120 is an apocalyptic number.

101232003120 is a gapful number since it is divisible by the number (10) 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 101232003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163825514496).

101232003120 is an abundant number, since it is smaller than the sum of its proper divisors (226419025872).

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

101232003120 is a wasteful number, since it uses less digits than its factorization.

101232003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101232003120 its reverse (21300232101), we get a palindrome (122532235221).

The spelling of 101232003120 in words is "one hundred one billion, two hundred thirty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2213 2760 4426 5520 6639 8287 8852 11065 13278 16574 17704 22130 24861 26556 33148 33195 35408 41435 44260 49722 50899 53112 66296 66390 82870 88520 99444 101798 106224 124305 132592 132780 152697 165740 177040 190601 198888 203596 248610 254495 265560 305394 331480 381202 397776 407192 497220 508990 531120 571803 610788 662960 762404 763485 814384 953005 994440 1017980 1143606 1221576 1524808 1526970 1906010 1988880 2035960 2287212 2443152 2859015 3049616 3053940 3812020 4071920 4574424 5718030 6107880 7624040 9148848 11436060 12215760 15248080 18339131 22872120 36678262 45744240 55017393 73356524 91695655 110034786 146713048 183391310 220069572 275086965 293426096 366782620 421800013 440139144 550173930 733565240 843600026 880278288 1100347860 1265400039 1467130480 1687200052 2109000065 2200695720 2530800078 3374400104 4218000130 4401391440 5061600156 6327000195 6748800208 8436000260 10123200312 12654000390 16872000520 20246400624 25308000780 33744001040 50616001560 101232003120