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10121203110 = 2353715235987
BaseRepresentation
bin10010110110100010…
…10100110110100110
3222010100211101112110
421123101110312212
5131212011444420
64352152301450
7505545543534
oct113321246646
928110741473
1010121203110
114324178777
121b656a1886
13c53b45ba5
146c02b3154
153e384eee0
hex25b454da6

10121203110 has 64 divisors (see below), whose sum is σ = 24967948032. Its totient is φ = 2623879296.

The previous prime is 10121203093. The next prime is 10121203121. The reversal of 10121203110 is 1130212101.

10121203110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1687537 + ... + 1693523.

It is an arithmetic number, because the mean of its divisors is an integer number (390124188).

Almost surely, 210121203110 is an apocalyptic number.

10121203110 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 10121203110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483974016).

10121203110 is an abundant number, since it is smaller than the sum of its proper divisors (14846744922).

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

10121203110 is a wasteful number, since it uses less digits than its factorization.

10121203110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557.

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

Adding to 10121203110 its reverse (1130212101), we get a palindrome (11251415211).

The spelling of 10121203110 in words is "ten billion, one hundred twenty-one million, two hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1523 3046 4569 5987 7615 9138 11974 15230 17961 22845 29935 35922 45690 56351 59870 89805 112702 169053 179610 221519 281755 338106 443038 563510 664557 845265 1107595 1329114 1690530 2215190 3322785 6645570 9118201 18236402 27354603 45591005 54709206 91182010 136773015 273546030 337373437 674746874 1012120311 1686867185 2024240622 3373734370 5060601555 10121203110