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120200100211100 = 225271343307181447
BaseRepresentation
bin11011010101001001000100…
…010001100110100110011100
3120202121000110122121222020002
4123111021010101212212130
5111223324301123223400
61103351055210513432
734214112352002620
oct3325110421464634
9522530418558202
10120200100211100
1135332637a604a8
1211593702435878
13520ba89434750
142197a04599180
15dd6a317c1ed5
hex6d524446699c

120200100211100 has 144 divisors (see below), whose sum is σ = 328492468136448. Its totient is φ = 37156667708160.

The previous prime is 120200100211099. The next prime is 120200100211151. The reversal of 120200100211100 is 1112001002021.

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, 153199424 + ... + 153982023.

It is an arithmetic number, because the mean of its divisors is an integer number (2281197695392).

Almost surely, 2120200100211100 is an apocalyptic number.

120200100211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200100211100 is an abundant number, since it is smaller than the sum of its proper divisors (208292367925348).

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

120200100211100 is a wasteful number, since it uses less digits than its factorization.

120200100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307181524 (or 307181517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120200100211100 its reverse (1112001002021), we get a palindrome (121312101213121).

The spelling of 120200100211100 in words is "one hundred twenty trillion, two hundred billion, one hundred million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 43 50 52 65 70 86 91 100 130 140 172 175 182 215 260 301 325 350 364 430 455 559 602 650 700 860 910 1075 1118 1204 1300 1505 1820 2150 2236 2275 2795 3010 3913 4300 4550 5590 6020 7525 7826 9100 11180 13975 15050 15652 19565 27950 30100 39130 55900 78260 97825 195650 391300 307181447 614362894 1228725788 1535907235 2150270129 3071814470 3993358811 4300540258 6143628940 7679536175 7986717622 8601080516 10751350645 13208802221 15359072350 15973435244 19966794055 21502701290 26417604442 27953511677 30718144700 39933588110 43005402580 52835208884 53756753225 55907023354 66044011105 79867176220 92461615547 99833970275 107513506450 111814046708 132088022210 139767558385 171714428873 184923231094 199667940550 215027012900 264176044420 279535116770 330220055525 343428857746 369846462188 399335881100 462308077735 559070233540 660440111050 686857715492 698837791925 858572144365 924616155470 1202001002111 1320880222100 1397675583850 1717144288730 1849232310940 2311540388675 2404002004222 2795351167700 3434288577460 4292860721825 4623080777350 4808004008444 6010005010555 8585721443650 9246161554700 12020010021110 17171442887300 24040020042220 30050025052775 60100050105550 120200100211100