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31330103000 = 2353719072347
BaseRepresentation
bin11101001011011010…
…110110111011011000
32222212110010010200012
4131023122312323120
51003131001244000
622220504501052
72156250324110
oct351332667330
988773103605
1031330103000
1112318032109
1260a447a788
132c53b0cbb1
141732d64040
15c357b3735
hex74b6b6ed8

31330103000 has 128 divisors (see below), whose sum is σ = 83865300480. Its totient is φ = 10731542400.

The previous prime is 31330102987. The next prime is 31330103003. The reversal of 31330103000 is 30103313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330103003) 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, 13347827 + ... + 13350173.

It is an arithmetic number, because the mean of its divisors is an integer number (655197660).

Almost surely, 231330103000 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 31330103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932650240).

31330103000 is an abundant number, since it is smaller than the sum of its proper divisors (52535197480).

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

31330103000 is a wasteful number, since it uses less digits than its factorization.

31330103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 31330103000 its reverse (30103313), we get a palindrome (31360206313).

The spelling of 31330103000 in words is "thirty-one billion, three hundred thirty million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1907 2347 3500 3814 4694 7000 7628 9388 9535 11735 13349 15256 16429 18776 19070 23470 26698 32858 38140 46940 47675 53396 58675 65716 66745 76280 82145 93880 95350 106792 117350 131432 133490 164290 190700 234700 238375 266980 293375 328580 333725 381400 410725 469400 476750 533960 586750 657160 667450 821450 953500 1173500 1334900 1642900 1668625 1907000 2053625 2347000 2669800 3285800 3337250 4107250 4475729 6674500 8214500 8951458 13349000 16429000 17902916 22378645 31330103 35805832 44757290 62660206 89514580 111893225 125320412 156650515 179029160 223786450 250640824 313301030 447572900 559466125 626602060 783252575 895145800 1118932250 1253204120 1566505150 2237864500 3133010300 3916262875 4475729000 6266020600 7832525750 15665051500 31330103000