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31103222100 = 223521729210299
BaseRepresentation
bin11100111101111001…
…011000000101010100
32222021122012101120220
4130331321120011110
51002144411101400
622142201554340
72150524011546
oct347571300524
988248171526
1031103222100
1112210a5a135
1260404a59b0
132c18b03542
141710b85696
15c208e97a0
hex73de58154

31103222100 has 144 divisors (see below), whose sum is σ = 98571816000. Its totient is φ = 7537080320.

The previous prime is 31103222099. The next prime is 31103222123. The reversal of 31103222100 is 122230113.

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 31103222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42751 + ... + 253049.

It is an arithmetic number, because the mean of its divisors is an integer number (684526500).

Almost surely, 231103222100 is an apocalyptic number.

31103222100 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 31103222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49285908000).

31103222100 is an abundant number, since it is smaller than the sum of its proper divisors (67468593900).

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

31103222100 is a wasteful number, since it uses less digits than its factorization.

31103222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210362 (or 210355 counting only the distinct ones).

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

Adding to 31103222100 its reverse (122230113), we get a palindrome (31225452213).

The spelling of 31103222100 in words is "thirty-one billion, one hundred three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7395 8700 9860 12325 14790 24650 29580 36975 49300 73950 147900 210299 420598 630897 841196 1051495 1261794 2102990 2523588 3154485 3575083 4205980 5257475 6098671 6308970 7150166 10514950 10725249 12197342 12617940 14300332 15772425 17875415 18296013 21029900 21450498 24394684 30493355 31544850 35750830 36592026 42900996 53626245 60986710 63089700 71501660 73184052 89377075 91480065 103677407 107252490 121973420 152466775 178754150 182960130 207354814 214504980 268131225 304933550 311032221 357508300 365920260 414709628 457400325 518387035 536262450 609867100 622064442 914800650 1036774070 1072524900 1244128884 1555161105 1829601300 2073548140 2591935175 3110322210 5183870350 6220644420 7775805525 10367740700 15551611050 31103222100