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10121110152 = 2331944949433
BaseRepresentation
bin10010110110100001…
…11110001010001000
3222010100122200000120
421123100332022020
5131212001011102
64352150303240
7505545005526
oct113320761210
928110580016
1010121110152
11432411494a
121b65657b20
13c53b1279a
146c028b316
153e38326bc
hex25b43e288

10121110152 has 64 divisors (see below), whose sum is σ = 26694360000. Its totient is φ = 3188957184.

The previous prime is 10121110151. The next prime is 10121110163. The reversal of 10121110152 is 25101112101.

It is not an unprimeable number, because it can be changed into a prime (10121110151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180028 + ... + 229460.

It is an arithmetic number, because the mean of its divisors is an integer number (417099375).

Almost surely, 210121110152 is an apocalyptic number.

10121110152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121110152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347180000).

10121110152 is an abundant number, since it is smaller than the sum of its proper divisors (16573249848).

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

10121110152 is a wasteful number, since it uses less digits than its factorization.

10121110152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49910 (or 49906 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 10121110152 its reverse (25101112101), we get a palindrome (35222222253).

The spelling of 10121110152 in words is "ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 449 456 898 1347 1796 2694 3592 5388 8531 10776 17062 25593 34124 49433 51186 68248 98866 102372 148299 197732 204744 296598 395464 593196 939227 1186392 1878454 2817681 3756908 5635362 7513816 11270724 22195417 22541448 44390834 66586251 88781668 133172502 177563336 266345004 421712923 532690008 843425846 1265138769 1686851692 2530277538 3373703384 5060555076 10121110152