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220100101202100 = 223527432437431907
BaseRepresentation
bin110010000010111000001100…
…010110001110000010110100
31001212022100211111011111122210
4302002320030112032002310
5212322110001401431400
62100040331323453420
764234464455454660
oct6202701426160264
91055270744144583
10220100101202100
1164148a24149089
1220828a5a687270
1395a7473027042
143c4cc8a5278a0
151a6a496ea0950
hexc82e0c58e0b4

220100101202100 has 144 divisors (see below), whose sum is σ = 744723195442688. Its totient is φ = 49138627224960.

The previous prime is 220100101202099. The next prime is 220100101202123. The reversal of 220100101202100 is 1202101001022.

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

It is a congruent number.

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, 1218625654 + ... + 1218806253.

Almost surely, 2220100101202100 is an apocalyptic number.

220100101202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100101202100 is an abundant number, since it is smaller than the sum of its proper divisors (524623094240588).

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

220100101202100 is a wasteful number, since it uses less digits than its factorization.

220100101202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437431974 (or 2437431967 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220100101202100 its reverse (1202101001022), we get a palindrome (221302202203122).

The spelling of 220100101202100 in words is "two hundred twenty trillion, one hundred billion, one hundred one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 2437431907 4874863814 7312295721 9749727628 12187159535 14624591442 17062023349 24374319070 29249182884 34124046698 36561478605 48748638140 51186070047 60935797675 68248093396 73122957210 85310116745 102372140094 104809572001 121871595350 146245914420 170620233490 182807393025 204744280188 209619144002 243743190700 255930350235 314428716003 341240466980 365614786050 419238288004 426550583725 511860700470 524047860005 628857432006 731229572100 733667004007 853101167450 1023721400940 1048095720010 1257714864012 1279651751175 1467334008014 1572143580015 1706202334900 2096191440020 2201001012021 2559303502350 2620239300025 2934668016028 3144287160030 3668335020035 4402002024042 5118607004700 5240478600050 6288574320060 7336670040070 7860717900075 8804004048084 10480957200100 11005005060105 14673340080140 15721435800150 18341675100175 22010010120210 31442871600300 36683350200350 44020020240420 55025025300525 73366700400700 110050050601050 220100101202100