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1010010011120 = 2451110111363749
BaseRepresentation
bin11101011001010010100…
…10011011010111110000
310120120000100000200021122
432230221102123113300
5113022000030323440
62051554151441412
7132653663304635
oct16545122332760
93516010020248
101010010011120
1135a385358460
121438b6386268
137432207c946
1436c55a5418c
151b4154507b5
hexeb2949b5f0

1010010011120 has 80 divisors (see below), whose sum is σ = 2587116780000. Its totient is φ = 363639936000.

The previous prime is 1010010011113. The next prime is 1010010011123. The reversal of 1010010011120 is 211100100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1010010011098 and 1010010011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5592995 + ... + 5770754.

It is an arithmetic number, because the mean of its divisors is an integer number (32338959750).

Almost surely, 21010010011120 is an apocalyptic number.

1010010011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010011120 is an abundant number, since it is smaller than the sum of its proper divisors (1577106768880).

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

1010010011120 is a wasteful number, since it uses less digits than its factorization.

1010010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363874 (or 11363868 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010010011120 its reverse (211100100101), we get a palindrome (1221110111221).

The spelling of 1010010011120 in words is "one trillion, ten billion, ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 11363749 22727498 45454996 56818745 90909992 113637490 125001239 181819984 227274980 250002478 454549960 500004956 625006195 909099920 1000009912 1147738649 1250012390 2000019824 2295477298 2500024780 4590954596 5000049560 5738693245 9181909192 10000099120 11477386490 12625125139 18363818384 22954772980 25250250278 45909545960 50500500556 63125625695 91819091920 101001001112 126251251390 202002002224 252502502780 505005005560 1010010011120