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1032001101020 = 225709702710357
BaseRepresentation
bin11110000010010000000…
…11110001110011011100
310122122202221010210101202
433001020003301303130
5113402014240213040
62110032245055032
7134362643423441
oct17011003616334
93578687123352
101032001101020
1136873a79881a
121480130b7478
1376418102186
1437d405559c8
151bca0dbe015
hexf0480f1cdc

1032001101020 has 48 divisors (see below), whose sum is σ = 2170777435680. Its totient is φ = 412119753984.

The previous prime is 1032001100917. The next prime is 1032001101041. The reversal of 1032001101020 is 201011002301.

It is a junction number, because it is equal to n+sod(n) for n = 1032001100992 and 1032001101010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99637682 + ... + 99648038.

It is an arithmetic number, because the mean of its divisors is an integer number (45224529910).

Almost surely, 21032001101020 is an apocalyptic number.

1032001101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032001101020 is an abundant number, since it is smaller than the sum of its proper divisors (1138776334660).

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

1032001101020 is a wasteful number, since it uses less digits than its factorization.

1032001101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18102 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1032001101020 its reverse (201011002301), we get a palindrome (1233012103321).

The spelling of 1032001101020 in words is "one trillion, thirty-two billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7027 7090 10357 14054 14180 20714 28108 35135 41428 51785 70270 103570 140540 207140 4982143 7343113 9964286 14686226 19928572 24910715 29372452 36715565 49821430 72778639 73431130 99642860 145557278 146862260 291114556 363893195 727786390 1455572780 51600055051 103200110102 206400220204 258000275255 516000550510 1032001101020