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10120224402 = 2381814261
BaseRepresentation
bin10010110110011011…
…00101111010010010
3222010021222200000000
421123031211322102
5131211234140102
64352115310430
7505534326261
oct113315457222
928107880000
1010120224402
11432366a422
121b652ab416
13c53892582
146c00da5d8
153e370a01c
hex25b365e92

10120224402 has 72 divisors (see below), whose sum is σ = 22900518732. Its totient is φ = 3353983200.

The previous prime is 10120224377. The next prime is 10120224407. The reversal of 10120224402 is 20442202101.

It can be written as a sum of positive squares in 2 ways, for example, as 10104471441 + 15752961 = 100521^2 + 3969^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10120224407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2372952 + ... + 2377212.

Almost surely, 210120224402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120224402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450259366).

10120224402 is an abundant number, since it is smaller than the sum of its proper divisors (12780294330).

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

10120224402 is an frugal number, since it uses more digits than its factorization.

10120224402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10120224402 its reverse (20442202101), we get a palindrome (30562426503).

The spelling of 10120224402 in words is "ten billion, one hundred twenty million, two hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 362 486 543 729 1086 1458 1629 2187 3258 4261 4374 4887 6561 8522 9774 12783 13122 14661 25566 29322 38349 43983 76698 87966 115047 131949 230094 263898 345141 395847 690282 771241 791694 1035423 1187541 1542482 2070846 2313723 2375082 3106269 4627446 6212538 6941169 9318807 13882338 18637614 20823507 27956421 41647014 55912842 62470521 124941042 187411563 374823126 562234689 1124469378 1686704067 3373408134 5060112201 10120224402