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1013143402100 = 2252131467916529
BaseRepresentation
bin11101011111001000000…
…11010111011001110100
310120212002201001102122102
432233210003113121310
5113044404202331400
62053233123121232
7133124431553414
oct16574403273164
93525081042572
101013143402100
11360743046485
1214442b813218
137470129924b
1437071c60644
151b54a5929d5
hexebe40d7674

1013143402100 has 72 divisors (see below), whose sum is σ = 2215911297600. Its totient is φ = 402053516800.

The previous prime is 1013143402043. The next prime is 1013143402109. The reversal of 1013143402100 is 12043413101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013143402109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61286636 + ... + 61303164.

It is an arithmetic number, because the mean of its divisors is an integer number (30776545800).

Almost surely, 21013143402100 is an apocalyptic number.

1013143402100 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 1013143402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107955648800).

1013143402100 is an abundant number, since it is smaller than the sum of its proper divisors (1202767895500).

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

1013143402100 is a wasteful number, since it uses less digits than its factorization.

1013143402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21353 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013143402100 its reverse (12043413101), we get a palindrome (1025186815201).

The spelling of 1013143402100 in words is "one trillion, thirteen billion, one hundred forty-three million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 4679 6550 9358 13100 16529 18716 23395 33058 46790 66116 82645 93580 116975 165290 233950 330580 413225 467900 612949 826450 1225898 1652900 2165299 2451796 3064745 4330598 6129490 8661196 10826495 12258980 15323725 21652990 30647450 43305980 54132475 61294900 77339191 108264950 154678382 216529900 309356764 386695955 773391910 1546783820 1933479775 3866959550 7733919100 10131434021 20262868042 40525736084 50657170105 101314340210 202628680420 253285850525 506571701050 1013143402100