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100510050010000 = 245410199514901
BaseRepresentation
bin10110110110100111010001…
…110100111100001110010000
3111011212200000012101122110211
4112312213101310330032100
5101133224040300310000
6553433402440333504
730112416510532411
oct2666472164741620
9434780005348424
10100510050010000
112a031088a36964
12b333630474294
134411098440ca7
141ab69d8a95808
15b9476c88d7ba
hex5b69d1d3c390

100510050010000 has 100 divisors (see below), whose sum is σ = 245754239816844. Its totient is φ = 39805960000000.

The previous prime is 100510050009947. The next prime is 100510050010081. The reversal of 100510050010000 is 10050015001.

It can be written as a sum of positive squares in 10 ways, for example, as 15387135950736 + 85122914059264 = 3922644^2 + 9226208^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48747451 + ... + 50767450.

Almost surely, 2100510050010000 is an apocalyptic number.

100510050010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100510050010000 is an abundant number, since it is smaller than the sum of its proper divisors (145244189806844).

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

100510050010000 is an equidigital number, since it uses as much as digits as its factorization.

100510050010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515030 (or 99515009 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 100510050010000 in words is "one hundred trillion, five hundred ten billion, fifty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 202000 252500 505000 1010000 99514901 199029802 398059604 497574505 796119208 995149010 1592238416 1990298020 2487872525 3980596040 4975745050 7961192080 9951490100 10051005001 12439362625 19902980200 20102010002 24878725250 39805960400 40204020004 49757450500 50255025005 62196813125 80408040008 99514901000 100510050010 124393626250 160816080016 199029802000 201020100020 248787252500 251275125025 402040200040 497574505000 502550250050 804080400080 995149010000 1005100500100 1256375625125 2010201000200 2512751250250 4020402000400 5025502500500 6281878125625 10051005001000 12563756251250 20102010002000 25127512502500 50255025005000 100510050010000