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31220102100 = 22352119460637
BaseRepresentation
bin11101000100110111…
…001111001111010100
32222120210010111210210
4131010313033033110
51002414321231400
622201535045420
72153443326555
oct350467171724
988523114723
1031220102100
1112270a2a880
126073670870
132c370a72c5
1417224cc32c
15c2acd5950
hex744dcf3d4

31220102100 has 72 divisors (see below), whose sum is σ = 98542005408. Its totient is φ = 7568508800.

The previous prime is 31220102099. The next prime is 31220102101. The reversal of 31220102100 is 120102213.

It is an interprime number because it is at equal distance from previous prime (31220102099) and next prime (31220102101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727019 + ... + 4733618.

It is an arithmetic number, because the mean of its divisors is an integer number (1368638964).

Almost surely, 231220102100 is an apocalyptic number.

31220102100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220102100 is an abundant number, since it is smaller than the sum of its proper divisors (67321903308).

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

31220102100 is a wasteful number, since it uses less digits than its factorization.

31220102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460665 (or 9460658 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31220102100 its reverse (120102213), we get a palindrome (31340204313).

The spelling of 31220102100 in words is "thirty-one billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9460637 18921274 28381911 37842548 47303185 56763822 94606370 104067007 113527644 141909555 189212740 208134014 236515925 283819110 312201021 416268028 473031850 520335035 567638220 624402042 709547775 946063700 1040670070 1248804084 1419095550 1561005105 2081340140 2601675175 2838191100 3122010210 5203350350 6244020420 7805025525 10406700700 15610051050 31220102100