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110221121100200 = 235211229157054889
BaseRepresentation
bin11001000011111011011010…
…110001010001100110101000
3112110021000222102220112012212
4121003323122301101212220
5103421330324000201300
61030230514540224252
732134133063044265
oct3103733261214650
9473230872815185
10110221121100200
1132135573447600
121044171253b088
134966a65326056
141d30a3317a26c
15cb2187055935
hex643edac519a8

110221121100200 has 144 divisors (see below), whose sum is σ = 291391790161500. Its totient is φ = 38698324403200.

The previous prime is 110221121100149. The next prime is 110221121100257. The reversal of 110221121100200 is 2001121122011.

It can be written as a sum of positive squares in 6 ways, for example, as 70515218307556 + 39705902792644 = 8397334^2 + 6301262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77825645 + ... + 79229244.

Almost surely, 2110221121100200 is an apocalyptic number.

110221121100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221121100200 is an abundant number, since it is smaller than the sum of its proper divisors (181170669061300).

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

110221121100200 is a wasteful number, since it uses less digits than its factorization.

110221121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157054956 (or 157054936 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110221121100200 its reverse (2001121122011), we get a palindrome (112222242222211).

The spelling of 110221121100200 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 121 145 200 220 232 242 275 290 319 440 484 550 580 605 638 725 968 1100 1160 1210 1276 1450 1595 2200 2420 2552 2900 3025 3190 3509 4840 5800 6050 6380 7018 7975 12100 12760 14036 15950 17545 24200 28072 31900 35090 63800 70180 87725 140360 175450 350900 701800 157054889 314109778 628219556 785274445 1256439112 1570548890 1727603779 3141097780 3455207558 3926372225 4554591781 6282195560 6910415116 7852744450 8638018895 9109183562 13820830232 15705488900 17276037790 18218367124 19003641569 22772958905 31410977800 34552075580 36436734248 38007283138 43190094475 45545917810 50100509591 69104151160 76014566276 86380188950 91091835620 95018207845 100201019182 113864794525 152029132552 172760377900 182183671240 190036415690 200402038364 227729589050 250502547955 345520755800 380072831380 400804076728 455459178100 475091039225 501005095910 551105605501 760145662760 910918356200 950182078450 1002010191820 1102211211002 1252512739775 1900364156900 2004020383640 2204422422004 2505025479550 2755528027505 3800728313800 4408844844008 5010050959100 5511056055010 10020101918200 11022112110020 13777640137525 22044224220040 27555280275050 55110560550100 110221121100200