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20305032156100 = 22521817331530457
BaseRepresentation
bin1001001110111101000100…
…01110101001001111000100
32122220010211121021112211201
410213132202032221033010
510130134201212443400
6111104000351512244
74163663424410266
oct447364216511704
978803747245751
1020305032156100
11651935233472a
12233b302228684
13b439aa81c6b3
14502aa9831b36
152532a91ee06a
hex1277a23a93c4

20305032156100 has 72 divisors (see below), whose sum is σ = 44365828656968. Its totient is φ = 8066115302400.

The previous prime is 20305032156089. The next prime is 20305032156113. The reversal of 20305032156100 is 165123050302.

It can be written as a sum of positive squares in 12 ways, for example, as 4817910860676 + 15487121295424 = 2194974^2 + 3935368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12502072 + ... + 14032528.

Almost surely, 220305032156100 is an apocalyptic number.

20305032156100 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 20305032156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182914328484).

20305032156100 is an abundant number, since it is smaller than the sum of its proper divisors (24060796500868).

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

20305032156100 is a wasteful number, since it uses less digits than its factorization.

20305032156100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531385 (or 1531378 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 20305032156100 in words is "twenty trillion, three hundred five billion, thirty-two million, one hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 733 905 1466 1810 2932 3620 3665 4525 7330 9050 14660 18100 18325 36650 73300 132673 265346 530692 663365 1326730 1530457 2653460 3060914 3316825 6121828 6633650 7652285 13267300 15304570 30609140 38261425 76522850 153045700 277012717 554025434 1108050868 1121824981 1385063585 2243649962 2770127170 4487299924 5540254340 5609124905 6925317925 11218249810 13850635850 22436499620 27701271700 28045624525 56091249050 112182498100 203050321561 406100643122 812201286244 1015251607805 2030503215610 4061006431220 5076258039025 10152516078050 20305032156100