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120011101110021 = 31125571942730553
BaseRepresentation
bin11011010010011001000011…
…000011001111111100000101
3120201220221121222110212001110
4123102121003003033330011
5111212230213341010041
61103124201100115233
734164341651104332
oct3322310303177405
9521827558425043
10120011101110021
113526a470991500
1211562b56b35b19
1351c6cc9296124
14218c7d553d989
15dd1b6e018516
hex6d26430cff05

120011101110021 has 48 divisors (see below), whose sum is σ = 176214645415872. Its totient is φ = 72597305552640.

The previous prime is 120011101110001. The next prime is 120011101110077.

120011101110021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120011101110021 - 211 = 120011101107973 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120011101109979 and 120011101110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011101110001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3927949281 + ... + 3927979833.

It is an arithmetic number, because the mean of its divisors is an integer number (3671138446164).

Almost surely, 2120011101110021 is an apocalyptic number.

120011101110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011101110021 is a deficient number, since it is larger than the sum of its proper divisors (56203544305851).

120011101110021 is a wasteful number, since it uses less digits than its factorization.

120011101110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50562 (or 50551 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12001110 and 1110021, that added together give a palindrome (13111131).

The spelling of 120011101110021 in words is "one hundred twenty trillion, eleven billion, one hundred one million, one hundred ten thousand, twenty-one".

Divisors: 1 3 11 33 121 363 557 1671 6127 18381 19427 30553 58281 67397 91659 202191 213697 336083 641091 1008249 2350667 3696913 7052001 10820839 11090739 17018021 32462517 51054063 119029229 187198231 357087687 561594693 593553131 1309321519 1780659393 2059180541 3927964557 6177541623 6529084441 19587253323 71819928851 215459786553 330609093967 991827281901 3636700033637 10910100100911 40003700370007 120011101110021