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10022100120110 = 25131926831512311
BaseRepresentation
bin1001000111010111001110…
…1101111011001000101110
31022111002210101111200021102
42101311303231323020232
52303200230112320420
633152031135203102
72053033661305331
oct221656355731056
938432711450242
1010022100120110
1132143922733a1
12115a425076492
13579106963880
142691022d2618
15125a7024ba75
hex91d73b7b22e

10022100120110 has 64 divisors (see below), whose sum is σ = 20457588856320. Its totient is φ = 3504397322880.

The previous prime is 10022100120089. The next prime is 10022100120113. The reversal of 10022100120110 is 1102100122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022100120091 and 10022100120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100120113) 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, 5870855 + ... + 7383165.

It is an arithmetic number, because the mean of its divisors is an integer number (319649825880).

Almost surely, 210022100120110 is an apocalyptic number.

10022100120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022100120110 is an abundant number, since it is smaller than the sum of its proper divisors (10435488736210).

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

10022100120110 is a wasteful number, since it uses less digits than its factorization.

10022100120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515033.

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

Adding to 10022100120110 its reverse (1102100122001), we get a palindrome (11124200242111).

The spelling of 10022100120110 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 494 1235 2470 2683 5366 13415 26830 34879 50977 69758 101954 174395 254885 348790 509770 662701 1325402 1512311 3024622 3313505 6627010 7561555 15123110 19660043 28733909 39320086 57467818 98300215 143669545 196600430 287339090 373540817 747081634 1867704085 3735408170 4057530413 8115060826 20287652065 40575304130 52747895369 77093077847 105495790738 154186155694 263739476845 385465389235 527478953690 770930778470 1002210012011 2004420024022 5011050060055 10022100120110