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31113204124134 = 231141457225111177
BaseRepresentation
bin1110001001100000110110…
…11110101100100111100110
311002011101121200122112100110
413010300123132230213212
513034224320223433014
6150101113022553450
76360566126333406
oct704603336544746
9132141550575313
1031113204124134
119a06043676a30
1235a5b45138886
131448c68988712
14797c5c356806
1538e4d4a9cd59
hex1c4c1b7ac9e6

31113204124134 has 128 divisors (see below), whose sum is σ = 69728408354304. Its totient is φ = 9173260800000.

The previous prime is 31113204124099. The next prime is 31113204124241. The reversal of 31113204124134 is 43142140231113.

It is a super-3 number, since 3×311132041241343 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2783675554 + ... + 2783686730.

It is an arithmetic number, because the mean of its divisors is an integer number (544753190268).

Almost surely, 231113204124134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113204124134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864204177152).

31113204124134 is an abundant number, since it is smaller than the sum of its proper divisors (38615204230170).

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

31113204124134 is a wasteful number, since it uses less digits than its factorization.

31113204124134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13942.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 31113204124134 its reverse (43142140231113), we get a palindrome (74255344355247).

The spelling of 31113204124134 in words is "thirty-one trillion, one hundred thirteen billion, two hundred four million, one hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 457 902 914 1353 1371 2251 2706 2742 4502 5027 6753 10054 11177 13506 15081 18737 22354 24761 30162 33531 37474 49522 56211 67062 74283 92291 112422 122947 148566 184582 206107 245894 276873 368841 412214 458257 553746 618321 737682 916514 1015201 1028707 1236642 1374771 2030402 2057414 2749542 3045603 3086121 5040827 5107889 6091206 6172242 10081654 10215778 11315777 15122481 15323667 22631554 25159427 30244962 30647334 33947331 42176987 50318854 56186779 67894662 75478281 84353974 112373558 126530961 150956562 168560337 209423449 253061922 276753697 337120674 418846898 463946857 553507394 628270347 830261091 927893714 1031536507 1256540694 1391840571 1660522182 2063073014 2303657939 2783681142 3094609521 4607315878 6189219042 6910973817 11346901577 11497858139 13821947634 22693803154 22995716278 34040704731 34493574417 68081409462 68987148834 126476439529 252952879058 379429318587 471412183699 758858637174 942824367398 1414236551097 2828473102194 5185534020689 10371068041378 15556602062067 31113204124134