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31002202200 = 23352463111599
BaseRepresentation
bin11100110111111000…
…000001000001011000
32222000121010001100010
4130313320001001120
51001443030432300
622124152441520
72145156241104
oct346770010130
988017101303
1031002202200
1112169a31412
1260126a92a0
132c00bc3758
1417015aa904
15c16ae2a50
hex737e01058

31002202200 has 96 divisors (see below), whose sum is σ = 96315264000. Its totient is φ = 8249324160.

The previous prime is 31002202139. The next prime is 31002202223. The reversal of 31002202200 is 220220013.

It is a super-2 number, since 2×310022022002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222001 + ... + 333599.

It is an arithmetic number, because the mean of its divisors is an integer number (1003284000).

Almost surely, 231002202200 is an apocalyptic number.

31002202200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157632000).

31002202200 is an abundant number, since it is smaller than the sum of its proper divisors (65313061800).

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

31002202200 is a wasteful number, since it uses less digits than its factorization.

31002202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112081 (or 112072 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 31002202200 its reverse (220220013), we get a palindrome (31222422213).

The spelling of 31002202200 in words is "thirty-one billion, two million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 463 600 926 1389 1852 2315 2778 3704 4630 5556 6945 9260 11112 11575 13890 18520 23150 27780 34725 46300 55560 69450 92600 111599 138900 223198 277800 334797 446396 557995 669594 892792 1115990 1339188 1673985 2231980 2678376 2789975 3347970 4463960 5579950 6695940 8369925 11159900 13391880 16739850 22319800 33479700 51670337 66959400 103340674 155011011 206681348 258351685 310022022 413362696 516703370 620044044 775055055 1033406740 1240088088 1291758425 1550110110 2066813480 2583516850 3100220220 3875275275 5167033700 6200440440 7750550550 10334067400 15501101100 31002202200