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1031404414131 = 327132195098567
BaseRepresentation
bin11110000001001000111…
…11100110010010110011
310122121020100100221212100
433000210133212102303
5113344304012223011
62105453132031443
7134342106603510
oct17004437462263
93577210327770
101031404414131
113684639a3063
12147a87302583
13763515c6600
1437cc51d2307
151bc68807d56
hexf0247e64b3

1031404414131 has 72 divisors (see below), whose sum is σ = 1940718923520. Its totient is φ = 515403839808.

The previous prime is 1031404414127. The next prime is 1031404414153. The reversal of 1031404414131 is 1314144041301.

1031404414131 is a `hidden beast` number, since 10 + 3 + 140 + 441 + 41 + 31 = 666.

1031404414131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1031404414131 - 22 = 1031404414127 is a prime.

It is a super-2 number, since 2×10314044141312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031404414095 and 1031404414104.

It is not an unprimeable number, because it can be changed into a prime (1031404414121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2346991 + ... + 2751576.

Almost surely, 21031404414131 is an apocalyptic number.

1031404414131 is a deficient number, since it is larger than the sum of its proper divisors (909314509389).

1031404414131 is a wasteful number, since it uses less digits than its factorization.

1031404414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098625 (or 5098609 counting only the distinct ones).

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

Adding to 1031404414131 its reverse (1314144041301), we get a palindrome (2345548455432).

The spelling of 1031404414131 in words is "one trillion, thirty-one billion, four hundred four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 169 171 247 273 399 507 741 819 1183 1197 1521 1729 2223 3211 3549 5187 9633 10647 15561 22477 28899 67431 202293 5098567 15295701 35689969 45887103 66281371 96872773 107069907 198844113 290618319 321209721 463969597 596532339 678109411 861657823 871854957 1259346049 1391908791 2034328233 2584973469 3778038147 4175726373 6031604761 6102984699 7754920407 8815422343 11334114441 16371498637 18094814283 26446267029 49114495911 54284442849 79338801087 114600490459 147343487733 343801471377 1031404414131