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141222428100 = 2233521329138739
BaseRepresentation
bin1000001110000110000…
…0110011110111000100
3111111112000220122212000
42003201200303313010
54303210420144400
6144513210425300
713126423555425
oct2034140636704
9444460818760
10141222428100
115498a4194a6
1223453132230
1310417c09b30
146b99b1964c
153a181dc600
hex20e1833dc4

141222428100 has 288 divisors, whose sum is σ = 505790544000. Its totient is φ = 33563496960.

The previous prime is 141222428099. The next prime is 141222428173. The reversal of 141222428100 is 1824222141.

141222428100 is a `hidden beast` number, since 1 + 4 + 1 + 222 + 428 + 10 + 0 = 666.

It is a super-2 number, since 2×1412224281002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948531 + ... + 1087269.

Almost surely, 2141222428100 is an apocalyptic number.

141222428100 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 141222428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252895272000).

141222428100 is an abundant number, since it is smaller than the sum of its proper divisors (364568115900).

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

141222428100 is a wasteful number, since it uses less digits than its factorization.

141222428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138804 (or 138791 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 141222428100 in words is "one hundred forty-one billion, two hundred twenty-two million, four hundred twenty-eight thousand, one hundred".