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10103222120 = 2356735910501
BaseRepresentation
bin10010110100011001…
…01110111101101000
3222002002222212020212
421122030232331220
5131142411101440
64350311040252
7505236654035
oct113214567550
928062885225
1010103222120
114315007352
121b5b670088
13c501bb754
146bbb5238c
153e1e9c465
hex25a32ef68

10103222120 has 64 divisors (see below), whose sum is σ = 23138006400. Its totient is φ = 3969504000.

The previous prime is 10103222117. The next prime is 10103222147. The reversal of 10103222120 is 2122230101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10103222095 and 10103222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956870 + ... + 967370.

It is an arithmetic number, because the mean of its divisors is an integer number (361531350).

Almost surely, 210103222120 is an apocalyptic number.

10103222120 is a gapful number since it is divisible by the number (10) 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 10103222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569003200).

10103222120 is an abundant number, since it is smaller than the sum of its proper divisors (13034784280).

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

10103222120 is a wasteful number, since it uses less digits than its factorization.

10103222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10103222120 its reverse (2122230101), we get a palindrome (12225452221).

The spelling of 10103222120 in words is "ten billion, one hundred three million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 359 536 670 718 1340 1436 1795 2680 2872 3590 7180 10501 14360 21002 24053 42004 48106 52505 84008 96212 105010 120265 192424 210020 240530 420040 481060 703567 962120 1407134 2814268 3517835 3769859 5628536 7035670 7539718 14071340 15079436 18849295 28142680 30158872 37698590 75397180 150794360 252580553 505161106 1010322212 1262902765 2020644424 2525805530 5051611060 10103222120