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20293701120 = 293457113141
BaseRepresentation
bin10010111001100110…
…010100111000000000
31221101022011211110000
4102321212110320000
5313030141413440
613153420240000
71315616420250
oct227146247000
957338154400
1020293701120
1186742a1020
123b243a0000
131bb54ab694
14da72d9960
157db933730
hex4b9994e00

20293701120 has 1600 divisors, whose sum is σ = 95825866752. Its totient is φ = 3981312000.

The previous prime is 20293701083. The next prime is 20293701139. The reversal of 20293701120 is 2110739202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968300 + ... + 494968340.

Almost surely, 220293701120 is an apocalyptic number.

20293701120 is a gapful number since it is divisible by the number (20) 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 20293701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47912933376).

20293701120 is an abundant number, since it is smaller than the sum of its proper divisors (75532165632).

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

20293701120 is a wasteful number, since it uses less digits than its factorization.

20293701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20293701120 in words is "twenty billion, two hundred ninety-three million, seven hundred one thousand, one hundred twenty".