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100110011120 = 2457178767877
BaseRepresentation
bin101110100111100000…
…1011000101011110000
3100120101211122111010122
41131033001120223300
53120011130323440
6113553452545412
710142551024430
oct1351701305360
9316354574118
10100110011120
1139502545089
121749a782268
139595549b92
144bb98da2c0
15290dc1a7b5
hex174f058af0

100110011120 has 40 divisors (see below), whose sum is σ = 266006602464. Its totient is φ = 34323432192.

The previous prime is 100110011051. The next prime is 100110011137. The reversal of 100110011120 is 21110011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 100110011098 and 100110011107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89383379 + ... + 89384498.

Almost surely, 2100110011120 is an apocalyptic number.

100110011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110011120 is an abundant number, since it is smaller than the sum of its proper divisors (165896591344).

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

100110011120 is a wasteful number, since it uses less digits than its factorization.

100110011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178767897 (or 178767891 counting only the distinct ones).

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

Adding to 100110011120 its reverse (21110011001), we get a palindrome (121220022121).

The spelling of 100110011120 in words is "one hundred billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 178767877 357535754 715071508 893839385 1251375139 1430143016 1787678770 2502750278 2860286032 3575357540 5005500556 6256875695 7150715080 10011001112 12513751390 14301430160 20022002224 25027502780 50055005560 100110011120