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10121201130 = 235617970009
BaseRepresentation
bin10010110110100010…
…10100010111101010
3222010100211021211010
421123101110113222
5131212011414010
64352152244350
7505545535005
oct113321242752
928110737733
1010121201130
114324177237
121b656a06b6
13c53b45011
146c02b253c
153e384e620
hex25b4545ea

10121201130 has 64 divisors (see below), whose sum is σ = 25001971200. Its totient is φ = 2621099520.

The previous prime is 10121201099. The next prime is 10121201131. The reversal of 10121201130 is 3110212101.

10121201130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10121201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109566 + ... + 179574.

It is an arithmetic number, because the mean of its divisors is an integer number (390655800).

Almost surely, 210121201130 is an apocalyptic number.

10121201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500985600).

10121201130 is an abundant number, since it is smaller than the sum of its proper divisors (14880770070).

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

10121201130 is a wasteful number, since it uses less digits than its factorization.

10121201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70159.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121201130 its reverse (3110212101), we get a palindrome (13231413231).

The spelling of 10121201130 in words is "ten billion, one hundred twenty-one million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 79 122 158 183 237 305 366 395 474 610 790 915 1185 1830 2370 4819 9638 14457 24095 28914 48190 70009 72285 140018 144570 210027 350045 420054 700090 1050135 2100270 4270549 5530711 8541098 11061422 12811647 16592133 21352745 25623294 27653555 33184266 42705490 55307110 64058235 82960665 128116470 165921330 337373371 674746742 1012120113 1686866855 2024240226 3373733710 5060600565 10121201130