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203122220240 = 245231671733821
BaseRepresentation
bin1011110100101100000…
…1110001110011010000
3201102021221021220111002
42331023001301303100
511311443242021430
6233151342041132
720450362245632
oct2751301616320
9642257256432
10203122220240
117916421a505
12334492791a8
1316201127084
149b8ca20a52
15543c60b845
hex2f4b071cd0

203122220240 has 160 divisors (see below), whose sum is σ = 498739078656. Its totient is φ = 76784322560.

The previous prime is 203122220233. The next prime is 203122220291. The reversal of 203122220240 is 42022221302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53157530 + ... + 53161350.

Almost surely, 2203122220240 is an apocalyptic number.

203122220240 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 203122220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249369539328).

203122220240 is an abundant number, since it is smaller than the sum of its proper divisors (295616858416).

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

203122220240 is a wasteful number, since it uses less digits than its factorization.

203122220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203122220240 its reverse (42022221302), we get a palindrome (245144441542).

The spelling of 203122220240 in words is "two hundred three billion, one hundred twenty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 167 173 184 230 334 346 368 460 668 692 835 865 920 1336 1384 1670 1730 1840 2672 2768 3340 3460 3821 3841 3979 6680 6920 7642 7682 7958 13360 13840 15284 15364 15916 19105 19205 19895 28891 30568 30728 31832 38210 38410 39790 57782 61136 61456 63664 76420 76820 79580 87883 115564 144455 152840 153640 159160 175766 231128 288910 305680 307280 318320 351532 439415 462256 577820 638107 661033 664493 703064 878830 1155640 1276214 1322066 1328986 1406128 1757660 2311280 2552428 2644132 2657972 3190535 3305165 3322465 3515320 5104856 5288264 5315944 6381070 6610330 6644930 7030640 10209712 10576528 10631888 12762140 13220660 13289860 14676461 15203759 25524280 26441320 26579720 29352922 30407518 51048560 52882640 53159440 58705844 60815036 73382305 76018795 110392511 117411688 121630072 146764610 152037590 220785022 234823376 243260144 293529220 304075180 441570044 551962555 587058440 608150360 883140088 1103925110 1174116880 1216300720 1766280176 2207850220 2539027753 4415700440 5078055506 8831400880 10156111012 12695138765 20312222024 25390277530 40624444048 50780555060 101561110120 203122220240