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100310020201224 = 23321393194725017
BaseRepresentation
bin10110110011101100111111…
…000111110001101100001000
3111011011112200210000112000200
4112303230333013301230020
5101121434410132414344
6553201442003332200
730062105545314351
oct2663547707615410
9434145623015020
10100310020201224
1129a64271365a09
12b300906981060
1343c826abb5bb2
141aab060a54d28
15b8e4619cc069
hex5b3b3f1f1b08

100310020201224 has 24 divisors (see below), whose sum is σ = 271672971378510. Its totient is φ = 33436673400384.

The previous prime is 100310020201219. The next prime is 100310020201229. The reversal of 100310020201224 is 422102020013001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100310020201219) and next prime (100310020201229).

It can be written as a sum of positive squares in only one way, i.e., 88566582204324 + 11743437996900 = 9410982^2 + 3426870^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100310020201197 and 100310020201206.

It is not an unprimeable number, because it can be changed into a prime (100310020201229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696597362437 + ... + 696597362580.

Almost surely, 2100310020201224 is an apocalyptic number.

It is an amenable number.

100310020201224 is an abundant number, since it is smaller than the sum of its proper divisors (171362951177286).

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

100310020201224 is a wasteful number, since it uses less digits than its factorization.

100310020201224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393194725029 (or 1393194725022 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100310020201224 its reverse (422102020013001), we get a palindrome (522412040214225).

The spelling of 100310020201224 in words is "one hundred trillion, three hundred ten billion, twenty million, two hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1393194725017 2786389450034 4179584175051 5572778900068 8359168350102 11145557800136 12538752525153 16718336700204 25077505050306 33436673400408 50155010100612 100310020201224