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1120110011020 = 22572111310774699
BaseRepresentation
bin10000010011001011110…
…000100110001010001100
310222002012101121011201201
4100103023300212022030
5121322441130323040
62214323232515244
7143632241000200
oct20231360461214
93862171534651
101120110011020
113a2043999a10
121611026abb24
138181a1c0290
143c2dc228b00
151e20b1eca9a
hex104cbc2628c

1120110011020 has 288 divisors, whose sum is σ = 3244724179200. Its totient is φ = 319253276160.

The previous prime is 1120110010979. The next prime is 1120110011051. The reversal of 1120110011020 is 201100110211.

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 = 1120110010988 and 1120110011006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14957631 + ... + 15032329.

It is an arithmetic number, because the mean of its divisors is an integer number (11266403400).

Almost surely, 21120110011020 is an apocalyptic number.

1120110011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120110011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622362089600).

1120110011020 is an abundant number, since it is smaller than the sum of its proper divisors (2124614168180).

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

1120110011020 is a wasteful number, since it uses less digits than its factorization.

1120110011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74853 (or 74844 counting only the distinct ones).

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

Adding to 1120110011020 its reverse (201100110211), we get a palindrome (1321210121231).

It can be divided in two parts, 1 and 120110011020, that added together give a palindrome (120110011021).

The spelling of 1120110011020 in words is "one trillion, one hundred twenty billion, one hundred ten million, eleven thousand, twenty".