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31002212200 = 23522953100853
BaseRepresentation
bin11100110111111000…
…000011011101101000
32222000121010120001111
4130313320003131220
51001443031242300
622124153000104
72145156312211
oct346770033550
988017116044
1031002212200
1112169a38983
1260126b3034
132c00bc817b
1417015b0408
15c16ae59ba
hex737e03768

31002212200 has 96 divisors (see below), whose sum is σ = 75973318200. Its totient is φ = 11747240960.

The previous prime is 31002212167. The next prime is 31002212221. The reversal of 31002212200 is 221220013.

It can be written as a sum of positive squares in 12 ways, for example, as 940894276 + 30061317924 = 30674^2 + 173382^2 .

It is a super-2 number, since 2×310022122002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256974 + ... + 357826.

Almost surely, 231002212200 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 31002212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37986659100).

31002212200 is an abundant number, since it is smaller than the sum of its proper divisors (44971106000).

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

31002212200 is a wasteful number, since it uses less digits than its factorization.

31002212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100951 (or 100942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 31002212200 its reverse (221220013), we get a palindrome (31223432213).

The spelling of 31002212200 in words is "thirty-one billion, two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 53 58 100 106 116 145 200 212 232 265 290 424 530 580 725 1060 1160 1325 1450 1537 2120 2650 2900 3074 5300 5800 6148 7685 10600 12296 15370 30740 38425 61480 76850 100853 153700 201706 307400 403412 504265 806824 1008530 2017060 2521325 2924737 4034120 5042650 5345209 5849474 10085300 10690418 11698948 14623685 20170600 21380836 23397896 26726045 29247370 42761672 53452090 58494740 73118425 106904180 116989480 133630225 146236850 155011061 213808360 267260450 292473700 310022122 534520900 584947400 620044244 775055305 1069041800 1240088488 1550110610 3100221220 3875276525 6200442440 7750553050 15501106100 31002212200