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242134303300 = 2252197112831399
BaseRepresentation
bin1110000110000001010…
…1000100001001000100
3212010222202102001201021
43201200111010021010
512431342340201200
6303122430240524
723331212422261
oct3414025041104
9763882361637
10242134303300
119376355796a
123ab16356144
1319aaa6101a6
14ba0dd08268
1564724ec41a
hex3860544244

242134303300 has 144 divisors (see below), whose sum is σ = 561714048000. Its totient is φ = 90328694400.

The previous prime is 242134303291. The next prime is 242134303309. The reversal of 242134303300 is 3303431242.

It is an interprime number because it is at equal distance from previous prime (242134303291) and next prime (242134303309).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242134303309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173076001 + ... + 173077399.

It is an arithmetic number, because the mean of its divisors is an integer number (3900792000).

Almost surely, 2242134303300 is an apocalyptic number.

242134303300 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 242134303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280857024000).

242134303300 is an abundant number, since it is smaller than the sum of its proper divisors (319579744700).

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

242134303300 is a wasteful number, since it uses less digits than its factorization.

242134303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 242134303300 its reverse (3303431242), we get a palindrome (245437734542).

The spelling of 242134303300 in words is "two hundred forty-two billion, one hundred thirty-four million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1283 1349 1399 1420 1775 1900 2566 2698 2798 3550 5132 5396 5596 6415 6745 6995 7100 12830 13490 13990 24377 25660 26581 26980 27980 32075 33725 34975 48754 53162 64150 67450 69950 91093 97508 99329 106324 121885 128300 132905 134900 139900 182186 198658 243770 265810 364372 397316 455465 487540 496645 531620 609425 664525 910930 993290 1218850 1329050 1730767 1794917 1821860 1887251 1986580 2277325 2437700 2483225 2658100 3461534 3589834 3774502 4554650 4966450 6923068 7179668 7549004 8653835 8974585 9109300 9436255 9932900 17307670 17949170 18872510 34103423 34615340 35898340 37745020 43269175 44872925 47181275 68206846 86538350 89745850 94362550 127439107 136413692 170517115 173076700 179491700 188725100 254878214 341034230 509756428 637195535 682068460 852585575 1274391070 1705171150 2421343033 2548782140 3185977675 3410342300 4842686066 6371955350 9685372132 12106715165 12743910700 24213430330 48426860660 60533575825 121067151650 242134303300