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100111221010000 = 245416361417927
BaseRepresentation
bin10110110000110011110101…
…110001000010111001010000
3111010110112120010021020111101
4112300303311301002321100
5101110210240034310000
6552530243210554144
730041540245134514
oct2660636561027120
9433415503236441
10100111221010000
1129997a26403162
12b28a285438954
1343b25a85b2375
141aa15a2234144
15b891c8ba2e6a
hex5b0cf5c42e50

100111221010000 has 100 divisors (see below), whose sum is σ = 243866270588512. Its totient is φ = 39798816048000.

The previous prime is 100111221009979. The next prime is 100111221010079. The reversal of 100111221010000 is 10122111001.

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

It is a super-2 number, since 2×1001112210100002 (a number of 29 digits) contains 22 as substring.

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, 29078964 + ... + 32338963.

Almost surely, 2100111221010000 is an apocalyptic number.

100111221010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111221010000 is an abundant number, since it is smaller than the sum of its proper divisors (143755049578512).

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

100111221010000 is an equidigital number, since it uses as much as digits as its factorization.

100111221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61418118 (or 61418097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111221010000 its reverse (10122111001), we get a palindrome (100121343121001).

The spelling of 100111221010000 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 625 652 815 1000 1250 1304 1630 2000 2500 2608 3260 4075 5000 6520 8150 10000 13040 16300 20375 32600 40750 65200 81500 101875 163000 203750 326000 407500 815000 1630000 61417927 122835854 245671708 307089635 491343416 614179270 982686832 1228358540 1535448175 2456717080 3070896350 4913434160 6141792700 7677240875 10011122101 12283585400 15354481750 20022244202 24567170800 30708963500 38386204375 40044488404 50055610505 61417927000 76772408750 80088976808 100111221010 122835854000 153544817500 160177953616 200222442020 250278052525 307089635000 400444884040 500556105050 614179270000 800889768080 1001112210100 1251390262625 2002224420200 2502780525250 4004448840400 5005561050500 6256951313125 10011122101000 12513902626250 20022244202000 25027805252500 50055610505000 100111221010000