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10121131220 = 22517536783101
BaseRepresentation
bin10010110110100010…
…00011010011010100
3222010100200201220212
421123101003103110
5131212002144340
64352150544552
7505545124124
oct113321032324
928110621825
1010121131220
114324129762
121b65668158
13c53b1c255
146c0294c84
153e3838a65
hex25b4434d4

10121131220 has 192 divisors, whose sum is σ = 23785042176. Its totient is φ = 3602227200.

The previous prime is 10121131217. The next prime is 10121131243. The reversal of 10121131220 is 2213112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121131195 and 10121131204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100209170 + ... + 100209270.

It is an arithmetic number, because the mean of its divisors is an integer number (123880428).

Almost surely, 210121131220 is an apocalyptic number.

10121131220 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 10121131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892521088).

10121131220 is an abundant number, since it is smaller than the sum of its proper divisors (13663910956).

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

10121131220 is a wasteful number, since it uses less digits than its factorization.

10121131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10121131220 its reverse (2213112101), we get a palindrome (12334243321).

The spelling of 10121131220 in words is "ten billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".