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20232113570000 = 245417137118061
BaseRepresentation
bin1001001100110101001111…
…11100010100000011010000
32122122011121210002120111122
410212122213330110003100
510122440332033220000
6111010301001301412
74155502430560253
oct446324774240320
978564553076448
1020232113570000
1164a0433729732
122329151a94868
13b39b59827627
144dd34d36709a
1525143c77c085
hex1266a7f140d0

20232113570000 has 100 divisors (see below), whose sum is σ = 48987243467316. Its totient is φ = 8092304640000.

The previous prime is 20232113569963. The next prime is 20232113570087. The reversal of 20232113570000 is 7531123202.

It can be written as a sum of positive squares in 10 ways, for example, as 20016174915136 + 215938654864 = 4473944^2 + 464692^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171310970 + ... + 171429030.

Almost surely, 220232113570000 is an apocalyptic number.

20232113570000 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 20232113570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493621733658).

20232113570000 is an abundant number, since it is smaller than the sum of its proper divisors (28755129897316).

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

20232113570000 is a wasteful number, since it uses less digits than its factorization.

20232113570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135226 (or 135205 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

Adding to 20232113570000 its reverse (7531123202), we get a palindrome (20239644693202).

The spelling of 20232113570000 in words is "twenty trillion, two hundred thirty-two billion, one hundred thirteen million, five hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 17137 34274 68548 85685 118061 137096 171370 236122 274192 342740 428425 472244 590305 685480 856850 944488 1180610 1370960 1713700 1888976 2142125 2361220 2951525 3427400 4284250 4722440 5903050 6854800 8568500 9444880 10710625 11806100 14757625 17137000 21421250 23612200 29515250 34274000 42842500 47224400 59030500 73788125 85685000 118061000 147576250 171370000 236122000 295152500 590305000 1180610000 2023211357 4046422714 8092845428 10116056785 16185690856 20232113570 32371381712 40464227140 50580283925 80928454280 101160567850 161856908560 202321135700 252901419625 404642271400 505802839250 809284542800 1011605678500 1264507098125 2023211357000 2529014196250 4046422714000 5058028392500 10116056785000 20232113570000