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31013111120 = 24553107197347
BaseRepresentation
bin11100111000100001…
…101000010101010000
32222001100122021120012
4130320201220111100
51002003324023440
622125222334052
72145351044405
oct347041502520
988040567505
1031013111120
1112175102452
12601628a328
132c03242c34
141702c0a2ac
15c17a49e65
hex738868550

31013111120 has 160 divisors (see below), whose sum is σ = 74743751808. Its totient is φ = 11961657344.

The previous prime is 31013111089. The next prime is 31013111159. The reversal of 31013111120 is 2111131013.

It is a happy number.

It is a super-2 number, since 2×310131111202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31013111095 and 31013111104.

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, 89374787 + ... + 89375133.

Almost surely, 231013111120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37371875904).

31013111120 is an abundant number, since it is smaller than the sum of its proper divisors (43730640688).

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

31013111120 is a wasteful number, since it uses less digits than its factorization.

31013111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31013111120 its reverse (2111131013), we get a palindrome (33124242133).

The spelling of 31013111120 in words is "thirty-one billion, thirteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 107 197 212 214 265 347 394 424 428 530 535 694 788 848 856 985 1060 1070 1388 1576 1712 1735 1970 2120 2140 2776 3152 3470 3940 4240 4280 5552 5671 6940 7880 8560 10441 11342 13880 15760 18391 20882 21079 22684 27760 28355 36782 37129 41764 42158 45368 52205 56710 68359 73564 74258 83528 84316 90736 91955 104410 105395 113420 136718 147128 148516 167056 168632 183910 185645 208820 210790 226840 273436 294256 297032 337264 341795 367820 371290 417640 421580 453680 546872 594064 683590 735640 742580 835280 843160 1093744 1117187 1367180 1471280 1485160 1686320 1967837 2234374 2734360 2970320 3623027 3935674 4468748 5468720 5585935 7246054 7314413 7871348 8937496 9839185 11171870 14492108 14628826 15742696 17874992 18115135 19678370 22343740 28984216 29257652 31485392 36230270 36572065 39356740 44687480 57968432 58515304 72460540 73144130 78713480 89374960 117030608 144921080 146288260 157426960 289842160 292576520 387663889 585153040 775327778 1550655556 1938319445 3101311112 3876638890 6202622224 7753277780 15506555560 31013111120