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10121112420 = 22351739191061
BaseRepresentation
bin10010110110100001…
…11110101101100100
3222010100122210010120
421123100332231210
5131212001044140
64352150321540
7505545015246
oct113320765544
928110583116
1010121112420
114324116621
121b656592b0
13c53b13823
146c028c096
153e38331d0
hex25b43eb64

10121112420 has 96 divisors (see below), whose sum is σ = 28560833280. Its totient is φ = 2677916160.

The previous prime is 10121112389. The next prime is 10121112427. The reversal of 10121112420 is 2421112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121112420.

It is not an unprimeable number, because it can be changed into a prime (10121112427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9538690 + ... + 9539750.

It is an arithmetic number, because the mean of its divisors is an integer number (297508680).

Almost surely, 210121112420 is an apocalyptic number.

10121112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121112420 is an abundant number, since it is smaller than the sum of its proper divisors (18439720860).

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

10121112420 is a wasteful number, since it uses less digits than its factorization.

10121112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121112420 its reverse (2421112101), we get a palindrome (12542224521).

The spelling of 10121112420 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 919 1038 1061 1730 1838 2076 2122 2595 2757 3183 3460 3676 4244 4595 5190 5305 5514 6366 9190 10380 10610 11028 12732 13785 15915 18380 21220 27570 31830 55140 63660 158987 183553 317974 367106 476961 550659 635948 734212 794935 917765 953922 975059 1101318 1589870 1835530 1907844 1950118 2202636 2384805 2753295 2925177 3179740 3671060 3900236 4769610 4875295 5506590 5850354 9539220 9750590 11013180 11700708 14625885 19501180 29251770 58503540 168685207 337370414 506055621 674740828 843426035 1012111242 1686852070 2024222484 2530278105 3373704140 5060556210 10121112420