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101331010000 = 245411921191
BaseRepresentation
bin101111001011111001…
…1001000000111010000
3100200112221011122201101
41132113303020013100
53130011214310000
6114314551114144
710215035242063
oct1362763100720
9320487148641
10101331010000
1139a79793670
121777b672954
13972b4b431c
144c93b348da
152981002e6a
hex1797cc81d0

101331010000 has 100 divisors (see below), whose sum is σ = 267635754144. Its totient is φ = 36847600000.

The previous prime is 101331009979. The next prime is 101331010019. The reversal of 101331010000 is 10133101.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 350596 + ... + 570595.

Almost surely, 2101331010000 is an apocalyptic number.

101331010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331010000 is an abundant number, since it is smaller than the sum of its proper divisors (166304744144).

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

101331010000 is an equidigital number, since it uses as much as digits as its factorization.

101331010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921230 (or 921209 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101331010000 its reverse (10133101), we get a palindrome (101341143101).

101331010000 divided by its reverse (10133101) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1013 and 31010000, that added together give a palindrome (31011013).

The spelling of 101331010000 in words is "one hundred one billion, three hundred thirty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 921191 1842382 3684764 4605955 7369528 9211910 10133101 14739056 18423820 20266202 23029775 36847640 40532404 46059550 50665505 73695280 81064808 92119100 101331010 115148875 162129616 184238200 202662020 230297750 253327525 368476400 405324040 460595500 506655050 575744375 810648080 921191000 1013310100 1151488750 1266637625 1842382000 2026620200 2302977500 2533275250 4053240400 4605955000 5066550500 6333188125 9211910000 10133101000 12666376250 20266202000 25332752500 50665505000 101331010000