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20112131403441 = 3471167353136343
BaseRepresentation
bin1001001001010101110000…
…11100101010111010110001
32122012200221000110222220000
410210222320130222322301
510114004121114402231
6110435215143140213
74144024236151350
oct444527034527261
978180830428800
1020112131403441
1164545639450a0
122309a48144669
13b2b7482454bc
144d760a543997
1524d26914a6e6
hex124ab872aeb1

20112131403441 has 160 divisors (see below), whose sum is σ = 38124557273088. Its totient is φ = 10262691394560.

The previous prime is 20112131403281. The next prime is 20112131403449. The reversal of 20112131403441 is 14430413121102.

It is a happy number.

20112131403441 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 1 + 314 + 0 + 344 + 1 = 666.

It is not a de Polignac number, because 20112131403441 - 210 = 20112131402417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20112131403449) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147443116 + ... + 147579458.

Almost surely, 220112131403441 is an apocalyptic number.

20112131403441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20112131403441 is a deficient number, since it is larger than the sum of its proper divisors (18012425869647).

20112131403441 is a wasteful number, since it uses less digits than its factorization.

20112131403441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136793 (or 136784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20112131403441 its reverse (14430413121102), we get a palindrome (34542544524543).

The spelling of 20112131403441 in words is "twenty trillion, one hundred twelve billion, one hundred thirty-one million, four hundred three thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 67 77 81 99 189 201 231 297 353 469 567 603 693 737 891 1059 1407 1809 2079 2211 2471 3177 3883 4221 5159 5427 6237 6633 7413 9531 11649 12663 15477 19899 22239 23651 27181 28593 34947 37989 46431 59697 66717 70953 81543 104841 136343 139293 165557 200151 212859 244629 260161 314523 409029 417879 496671 638577 733887 780483 954401 1227087 1490013 1499773 1821127 1915731 2201661 2341449 2863203 3681261 4470039 4499319 5463381 7024347 8589609 9134981 10498411 11043783 13410117 13497957 16390143 21073041 25768827 27404943 31495233 40493871 48129079 49170429 63944867 77306481 82214829 94485699 100484791 121481613 144387237 147511287 191834601 246644487 283457097 301454373 336903553 433161711 529419869 575503803 703393537 739933461 850371291 904363119 1010710659 1299485133 1588259607 1726511409 2110180611 2713089357 3032131977 3224648293 3705939083 3898455399 4764778821 5179534227 6330541833 8139268071 9096395931 9673944879 11117817249 14294336463 18991625499 22572538051 27289187793 29021834637 33353451747 35471131223 42883009389 56974876497 67717614153 87065503911 100060355241 106413393669 203152842459 248297918561 261196511733 300181065723 319240181007 609458527377 744893755683 957720543021 1828375582131 2234681267049 2873161629063 6704043801147 20112131403441