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11210100010120 = 23511131194484733
BaseRepresentation
bin1010001100100000111000…
…0001110110110010001000
31110200200020010220001000201
42203020032001312302020
52432131241100310440
635501503203541544
72234621504616064
oct243101601666210
943620203801021
1011210100010120
1136321a4233210
12131071398a8b4
1363415307897b
142aa800bb0aa4
1514690169419a
hexa320e076c88

11210100010120 has 64 divisors (see below), whose sum is σ = 27725743679040. Its totient is φ = 4045282425600.

The previous prime is 11210100009973. The next prime is 11210100010181. The reversal of 11210100010120 is 2101000101211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11210100010097 and 11210100010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97184727 + ... + 97300006.

It is an arithmetic number, because the mean of its divisors is an integer number (433214744985).

Almost surely, 211210100010120 is an apocalyptic number.

11210100010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210100010120 is an abundant number, since it is smaller than the sum of its proper divisors (16515643668920).

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

11210100010120 is a wasteful number, since it uses less digits than its factorization.

11210100010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194484886 (or 194484882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11210100010120 its reverse (2101000101211), we get a palindrome (13311100111331).

It can be divided in two parts, 1 and 1210100010120, that added together give a palindrome (1210100010121).

The spelling of 11210100010120 in words is "eleven trillion, two hundred ten billion, one hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 57640 194484733 388969466 777938932 972423665 1555877864 1944847330 2139332063 3889694660 4278664126 7779389320 8557328252 10696660315 17114656504 21393320630 25477500023 42786641260 50955000046 85573282520 101910000092 127387500115 203820000184 254775000230 280252500253 509550000460 560505000506 1019100000920 1121010001012 1401262501265 2242020002024 2802525002530 5605050005060 11210100010120