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10121202000 = 24325371337167
BaseRepresentation
bin10010110110100010…
…10100100101010000
3222010100211100000100
421123101110211100
5131212011431000
64352152252400
7505545540360
oct113321244520
928110740010
1010121202000
114324177958
121b656a1100
13c53b45530
146c02b29a0
153e384ea00
hex25b454950

10121202000 has 960 divisors, whose sum is σ = 44951122944. Its totient is φ = 2065305600.

The previous prime is 10121201971. The next prime is 10121202053. The reversal of 10121202000 is 20212101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60605917 + ... + 60606083.

Almost surely, 210121202000 is an apocalyptic number.

10121202000 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 10121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475561472).

10121202000 is an abundant number, since it is smaller than the sum of its proper divisors (34829920944).

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

10121202000 is a wasteful number, since it uses less digits than its factorization.

10121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10121202000 its reverse (20212101), we get a palindrome (10141414101).

The spelling of 10121202000 in words is "ten billion, one hundred twenty-one million, two hundred two thousand".