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100405500532000 = 2553196126382349
BaseRepresentation
bin10110110101000101111010…
…001100010101010100100000
3111011111200010222002212122221
4112311011322030111110200
5101130020431114011000
6553313352234240424
730102025621611556
oct2665057214252440
9434450128085587
10100405500532000
1129aa0808536694
12b317312b86114
134404276223141
141ab191b729bd6
15b91b9e04061a
hex5b517a315520

100405500532000 has 384 divisors, whose sum is σ = 264944167488000. Its totient is φ = 37281904128000.

The previous prime is 100405500531991. The next prime is 100405500532009. The reversal of 100405500532000 is 235005504001.

It is an interprime number because it is at equal distance from previous prime (100405500531991) and next prime (100405500532009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100405500532009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219226826 + ... + 1219309174.

It is an arithmetic number, because the mean of its divisors is an integer number (689958769500).

Almost surely, 2100405500532000 is an apocalyptic number.

100405500532000 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 100405500532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132472083744000).

100405500532000 is an abundant number, since it is smaller than the sum of its proper divisors (164538666956000).

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

100405500532000 is a wasteful number, since it uses less digits than its factorization.

100405500532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82717 (or 82699 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 100405500532000 in words is "one hundred trillion, four hundred five billion, five hundred million, five hundred thirty-two thousand".