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101110112022220 = 22577152201194863
BaseRepresentation
bin10110111111010110001000…
…010011110110111011001100
3111021000000212112221020201221
4112333112020103312323030
5101223042002134202340
6555013202204013124
730203651555505160
oct2677261023667314
9437000775836657
10101110112022220
112a242615335124
12b40b997b311a4
134455847ba1302
141ad7a8127cca0
15ba518cdaa44a
hex5bf5884f6ecc

101110112022220 has 96 divisors (see below), whose sum is σ = 246088052453376. Its totient is φ = 34177235904000.

The previous prime is 101110112022169. The next prime is 101110112022221. The reversal of 101110112022220 is 22220211011101.

101110112022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101110112022194 and 101110112022203.

It is not an unprimeable number, because it can be changed into a prime (101110112022221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518780509 + ... + 518975371.

It is an arithmetic number, because the mean of its divisors is an integer number (2563417213056).

Almost surely, 2101110112022220 is an apocalyptic number.

101110112022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110112022220 is an abundant number, since it is smaller than the sum of its proper divisors (144977940431156).

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

101110112022220 is a wasteful number, since it uses less digits than its factorization.

101110112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247151 (or 247149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110112022220 its reverse (22220211011101), we get a palindrome (123330323033321).

The spelling of 101110112022220 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 52201 104402 194863 208804 261005 365407 389726 522010 730814 779452 974315 1044020 1364041 1461628 1827035 1948630 2728082 3654070 3706271 3897260 5456164 6820205 7308140 7412542 13640410 13835273 14825084 18531355 25943897 27280820 27670546 37062710 51887794 55341092 69176365 74125420 96846911 103775588 129719485 138352730 193693822 259438970 276705460 387387644 484234555 518877940 968469110 1936938220 10172043463 20344086926 40688173852 50860217315 71204304241 101720434630 142408608482 203440869260 284817216964 356021521205 712043042410 722215085873 1424086084820 1444430171746 2888860343492 3611075429365 5055505601111 7222150858730 10111011202222 14444301717460 20222022404444 25277528005555 50555056011110 101110112022220