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220100122101200 = 245211291724922587
BaseRepresentation
bin110010000010111000001101…
…100101111100010111010000
31001212022100212221111021211112
4302002320031211330113100
5212322110022224214300
62100040333351432452
764234465131220205
oct6202701545742720
91055270787437745
10220100122101200
1164148a34a22970
1220828a65685728
1395a7477463783
143c4cc8d207cac
151a6a498c2ce35
hexc82e0d97c5d0

220100122101200 has 120 divisors (see below), whose sum is σ = 596754218544480. Its totient is φ = 77276531852800.

The previous prime is 220100122101121. The next prime is 220100122101217. The reversal of 220100122101200 is 2101221001022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862333694 + ... + 862588893.

It is an arithmetic number, because the mean of its divisors is an integer number (4972951821204).

Almost surely, 2220100122101200 is an apocalyptic number.

220100122101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100122101200 is an abundant number, since it is smaller than the sum of its proper divisors (376654096443280).

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

220100122101200 is a wasteful number, since it uses less digits than its factorization.

220100122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724922645 (or 1724922634 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220100122101200 its reverse (2101221001022), we get a palindrome (222201343102222).

The spelling of 220100122101200 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 63800 127600 1724922587 3449845174 6899690348 8624612935 13799380696 17249225870 18974148457 27598761392 34498451740 37948296914 43123064675 50022755023 68996903480 75896593828 86246129350 94870742285 100045510046 137993806960 151793187656 172492258700 189741484570 200091020092 250113775115 303586375312 344984517400 379482969140 400182040184 474353711425 500227550230 550250305253 689969034800 758965938280 800364080368 948707422850 1000455100460 1100500610506 1250568875575 1517931876560 1897414845700 2000910200920 2201001221012 2501137751150 2751251526265 3794829691400 4001820401840 4402002442024 5002275502300 5502503052530 7589659382800 8804004884048 10004551004600 11005006105060 13756257631325 20009102009200 22010012210120 27512515262650 44020024420240 55025030525300 110050061050600 220100122101200