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31102212300 = 223521723265151
BaseRepresentation
bin11100111101110101…
…100001100011001100
32222021120022002101220
4130331311201203030
51002144131243200
622142124203340
72150512304535
oct347565414314
988246262356
1031102212300
111221042a495
126040099550
132c1883ba23
1417109a168c
15c2079a4a0
hex73dd618cc

31102212300 has 144 divisors (see below), whose sum is σ = 99425636352. Its totient is φ = 7466624000.

The previous prime is 31102212293. The next prime is 31102212371. The reversal of 31102212300 is 321220113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31102212300.

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 47 ways as a sum of consecutive naturals, for example, 15276 + ... + 249875.

It is an arithmetic number, because the mean of its divisors is an integer number (690455808).

Almost surely, 231102212300 is an apocalyptic number.

31102212300 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 31102212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49712818176).

31102212300 is an abundant number, since it is smaller than the sum of its proper divisors (68323424052).

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

31102212300 is a wasteful number, since it uses less digits than its factorization.

31102212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265208 (or 265201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31102212300 its reverse (321220113), we get a palindrome (31423432413).

The spelling of 31102212300 in words is "thirty-one billion, one hundred two million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1955 2300 2346 2550 3450 3910 4692 5100 5865 6900 7820 9775 11730 19550 23460 29325 39100 58650 117300 265151 530302 795453 1060604 1325755 1590906 2651510 3181812 3977265 4507567 5303020 6098473 6628775 7954530 9015134 12196946 13257550 13522701 15909060 18030268 18295419 19886325 22537835 24393892 26515100 27045402 30492365 36590838 39772650 45075670 54090804 60984730 67613505 73181676 79545300 90151340 91477095 103674041 112689175 121969460 135227010 152461825 182954190 207348082 225378350 270454020 304923650 311022123 338067525 365908380 414696164 450756700 457385475 518370205 609847300 622044246 676135050 914770950 1036740410 1244088492 1352270100 1555110615 1829541900 2073480820 2591851025 3110221230 5183702050 6220442460 7775553075 10367404100 15551106150 31102212300