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2111002121120 = 255172002938749
BaseRepresentation
bin11110101110000001100…
…010000001001110100000
321110210212100220212002012
4132232001202001032200
5234041313020333440
64253440405412052
7305341412652314
oct36560142011640
97423770825065
102111002121120
117442a8733372
122a116240a028
131240b3561a49
147425cbb3b44
1539da3074e65
hex1eb818813a0

2111002121120 has 96 divisors (see below), whose sum is σ = 5281009650000. Its totient is φ = 794670022656.

The previous prime is 2111002121117. The next prime is 2111002121147. The reversal of 2111002121120 is 211212001112.

It can be written as a sum of positive squares in 8 ways, for example, as 958307860624 + 1152694260496 = 978932^2 + 1073636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2111002121095 and 2111002121104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54459506 + ... + 54498254.

Almost surely, 22111002121120 is an apocalyptic number.

2111002121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111002121120 is an abundant number, since it is smaller than the sum of its proper divisors (3170007528880).

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

2111002121120 is a wasteful number, since it uses less digits than its factorization.

2111002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58810 (or 58802 counting only the distinct ones).

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

Adding to 2111002121120 its reverse (211212001112), we get a palindrome (2322214122232).

The spelling of 2111002121120 in words is "two trillion, one hundred eleven billion, two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 20029 38749 40058 77498 80116 100145 154996 160232 193745 200290 309992 320464 340493 387490 400580 619984 640928 658733 680986 774980 801160 1239968 1317466 1361972 1549960 1602320 1702465 2634932 2723944 3099920 3204640 3293665 3404930 5269864 5447888 6199840 6587330 6809860 10539728 10895776 13174660 13619720 21079456 26349320 27239440 52698640 54478880 105397280 776103721 1552207442 3104414884 3880518605 6208829768 7761037210 12417659536 13193763257 15522074420 24835319072 26387526514 31044148840 52775053028 62088297680 65968816285 105550106056 124176595360 131937632570 211100212112 263875265140 422200424224 527750530280 1055501060560 2111002121120