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30131311120 = 2451937618783
BaseRepresentation
bin11100000011111101…
…110101001000010000
32212202220101012100221
4130003331311020100
5443202103423440
621501522322424
72114452630051
oct340375651020
985686335327
1030131311120
1111862381019
125a0aab9414
132ac264c5a1
14165ba6a728
15bb5415d4a
hex703f75210

30131311120 has 160 divisors (see below), whose sum is σ = 76985786880. Its totient is φ = 10926213120.

The previous prime is 30131311099. The next prime is 30131311127. The reversal of 30131311120 is 2111313103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30131311094 and 30131311103.

It is not an unprimeable number, because it can be changed into a prime (30131311127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3426249 + ... + 3435031.

It is an arithmetic number, because the mean of its divisors is an integer number (481161168).

Almost surely, 230131311120 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 30131311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38492893440).

30131311120 is an abundant number, since it is smaller than the sum of its proper divisors (46854475760).

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

30131311120 is a wasteful number, since it uses less digits than its factorization.

30131311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 30131311120 its reverse (2111313103), we get a palindrome (32242624223).

The spelling of 30131311120 in words is "thirty billion, one hundred thirty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 61 74 76 80 95 122 148 152 185 190 244 296 304 305 370 380 488 592 610 703 740 760 976 1159 1220 1406 1480 1520 2257 2318 2440 2812 2960 3515 4514 4636 4880 5624 5795 7030 8783 9028 9272 11248 11285 11590 14060 17566 18056 18544 22570 23180 28120 35132 36112 42883 43915 45140 46360 56240 70264 85766 87830 90280 92720 140528 166877 171532 175660 180560 214415 324971 333754 343064 351320 428830 535763 649942 667508 686128 702640 834385 857660 1071526 1299884 1335016 1624855 1668770 1715320 2143052 2599768 2670032 2678815 3249710 3337540 3430640 4286104 5199536 5357630 6174449 6499420 6675080 8572208 10179497 10715260 12348898 12998840 13350160 19823231 20358994 21430520 24697796 25997680 30872245 39646462 40717988 42861040 49395592 50897485 61744490 79292924 81435976 98791184 99116155 101794970 123488980 158585848 162871952 198232310 203589940 246977960 317171696 376641389 396464620 407179880 493955920 753282778 792929240 814359760 1506565556 1585858480 1883206945 3013131112 3766413890 6026262224 7532827780 15065655560 30131311120