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31202102100 = 223521319421081
BaseRepresentation
bin11101000011110010…
…100100101101010100
32222112112021000110010
4131003302210231110
51002400214231400
622200053200220
72153134330461
oct350362445524
988475230403
1031202102100
1112261856144
126069630070
132c33444310
14171dd64668
15c2942c450
hex743ca4b54

31202102100 has 144 divisors (see below), whose sum is σ = 102339769280. Its totient is φ = 7276262400.

The previous prime is 31202102093. The next prime is 31202102101. The reversal of 31202102100 is 120120213.

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 (31202102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136441 + ... + 284640.

Almost surely, 231202102100 is an apocalyptic number.

31202102100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31202102100 is an abundant number, since it is smaller than the sum of its proper divisors (71137667180).

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

31202102100 is a wasteful number, since it uses less digits than its factorization.

31202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421130 (or 421123 counting only the distinct ones).

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

Adding to 31202102100 its reverse (120120213), we get a palindrome (31322222313).

The spelling of 31202102100 in words is "thirty-one billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 421081 842162 1263243 1684324 2105405 2526486 4210810 5052972 5474053 6316215 8000539 8421620 10527025 10948106 12632430 16001078 16422159 21054050 21896212 24001617 25264860 27370265 31581075 32002156 32844318 40002695 42108100 48003234 54740530 63162150 65688636 80005390 82110795 96006468 104007007 109481060 120008085 126324300 136851325 160010780 164221590 200013475 208014014 240016170 273702650 312021021 328443180 400026950 410553975 416028028 480032340 520035035 547405300 600040425 624042042 800053900 821107950 1040070070 1200080850 1248084084 1560105105 1642215900 2080140140 2400161700 2600175175 3120210210 5200350350 6240420420 7800525525 10400700700 15601051050 31202102100