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204013402124112 = 24327645131374089
BaseRepresentation
bin101110011000110010010010…
…010111001110111101010000
3222202100111020202210012112200
4232120302102113032331100
5203220023421420432422
62001522244005323200
760654324201435030
oct5630622227167520
9882314222705480
10204013402124112
115a006663976149
121aa6b1b7706500
1389ab4c5862669
143854430c878c0
15188bccb92e2ac
hexb98c925cef50

204013402124112 has 120 divisors (see below), whose sum is σ = 652620226864320. Its totient is φ = 58280505868800.

The previous prime is 204013402124083. The next prime is 204013402124153. The reversal of 204013402124112 is 211421204310402.

204013402124112 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 3 + 402 + 1 + 241 + 12 = 666.

204013402124112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9184437 + ... + 22189652.

It is an arithmetic number, because the mean of its divisors is an integer number (5438501890536).

Almost surely, 2204013402124112 is an apocalyptic number.

It is an amenable number.

204013402124112 is an abundant number, since it is smaller than the sum of its proper divisors (448606824740208).

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

204013402124112 is a wasteful number, since it uses less digits than its factorization.

204013402124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31380561 (or 31380552 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204013402124112 its reverse (211421204310402), we get a palindrome (415434606434514).

The spelling of 204013402124112 in words is "two hundred four trillion, thirteen billion, four hundred two million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 6451 12902 19353 25804 38706 45157 51608 58059 77412 90314 103216 116118 135471 154824 180628 232236 270942 309648 361256 406413 464472 541884 722512 812826 928944 1083768 1625652 2167536 3251304 6502608 31374089 62748178 94122267 125496356 188244534 219618623 250992712 282366801 376489068 439237246 501985424 564733602 658855869 752978136 878474492 1129467204 1317711738 1505956272 1756948984 1976567607 2258934408 2635423476 3513897968 3953135214 4517868816 5270846952 7906270428 10541693904 15812540856 31625081712 202394248139 404788496278 607182744417 809576992556 1214365488834 1416759736973 1619153985112 1821548233251 2428730977668 2833519473946 3238307970224 3643096466502 4250279210919 4857461955336 5667038947892 7286192933004 8500558421838 9714923910672 11334077895784 12750837632757 14572385866008 17001116843676 22668155791568 25501675265514 29144771732016 34002233687352 51003350531028 68004467374704 102006701062056 204013402124112