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100210110020000 = 25545010505501
BaseRepresentation
bin10110110010001111111100…
…000000101011100110100000
3111010210222210212101102222022
4112302033330000223212200
5101113320301131120000
6553043520005401012
730051640641635231
oct2662177400534640
9433728725342868
10100210110020000
1129a259616a8002
12b2a5483109168
1343bba07b93a76
141aa62a38d5088
15b8ba655d5585
hex5b23fc02b9a0

100210110020000 has 60 divisors (see below), whose sum is σ = 246531902214906. Its totient is φ = 40084044000000.

The previous prime is 100210110019997. The next prime is 100210110020011. The reversal of 100210110020000 is 20011012001.

It can be written as a sum of positive squares in 5 ways, for example, as 3550616638864 + 96659493381136 = 1884308^2 + 9831556^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100210110020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2505232751 + ... + 2505272750.

Almost surely, 2100210110020000 is an apocalyptic number.

100210110020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210110020000 is an abundant number, since it is smaller than the sum of its proper divisors (146321792194906).

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

100210110020000 is an frugal number, since it uses more digits than its factorization.

100210110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010505531 (or 5010505508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210110020000 its reverse (20011012001), we get a palindrome (100230121032001).

The spelling of 100210110020000 in words is "one hundred trillion, two hundred ten billion, one hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 5010505501 10021011002 20042022004 25052527505 40084044008 50105055010 80168088016 100210110020 125262637525 160336176032 200420220040 250525275050 400840440080 501050550100 626313187625 801680880160 1002101100200 1252626375250 2004202200400 2505252750500 3131565938125 4008404400800 5010505501000 6263131876250 10021011002000 12526263752500 20042022004000 25052527505000 50105055010000 100210110020000