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1010123032032 = 25323507371639
BaseRepresentation
bin11101011001100000000…
…01100100010111100000
310120120022012200201211100
432230300001210113200
5113022212444011112
62052013310114400
7132656535050652
oct16546001442740
93516265621740
101010123032032
1135a433132774
121439281aba00
137433c60201a
1436c66a746d2
151b4203282dc
hexeb300645e0

1010123032032 has 36 divisors (see below), whose sum is σ = 2872537373160. Its totient is φ = 336707677248.

The previous prime is 1010123032027. The next prime is 1010123032067. The reversal of 1010123032032 is 2302303210101.

1010123032032 is a `hidden beast` number, since 10 + 101 + 230 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×10101230320324 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010123031996 and 1010123032014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753685532 + ... + 1753686107.

It is an arithmetic number, because the mean of its divisors is an integer number (79792704810).

Almost surely, 21010123032032 is an apocalyptic number.

1010123032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010123032032 is an abundant number, since it is smaller than the sum of its proper divisors (1862414341128).

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

1010123032032 is a wasteful number, since it uses less digits than its factorization.

1010123032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507371655 (or 3507371644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1010123032032 its reverse (2302303210101), we get a palindrome (3312426242133).

The spelling of 1010123032032 in words is "one trillion, ten billion, one hundred twenty-three million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3507371639 7014743278 10522114917 14029486556 21044229834 28058973112 31566344751 42088459668 56117946224 63132689502 84176919336 112235892448 126265379004 168353838672 252530758008 336707677344 505061516016 1010123032032