Search a number
-
+
202312200311104 = 26135916192545657
BaseRepresentation
bin101110000000000001111010…
…110101010101000101000000
3222112022212011002102221210211
4232000001322311111011000
5203004140341234423404
61554140535230403504
760420400631553322
oct5600017265250500
9875285132387724
10202312200311104
1159510138897774
121a835562660594
1388b6c6014c440
1437d5d69a97612
15185c910867b04
hexb8007ad55140

202312200311104 has 112 divisors (see below), whose sum is σ = 439944688612800. Its totient is φ = 91735503998976.

The previous prime is 202312200311101. The next prime is 202312200311141. The reversal of 202312200311104 is 401113002213202.

It is a super-3 number, since 3×2023122003111043 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202312200311101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78200644 + ... + 80746300.

It is an arithmetic number, because the mean of its divisors is an integer number (3928077576900).

Almost surely, 2202312200311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202312200311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219972344306400).

202312200311104 is an abundant number, since it is smaller than the sum of its proper divisors (237632488301696).

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

202312200311104 is a wasteful number, since it uses less digits than its factorization.

202312200311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547360 (or 2547350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 202312200311104 its reverse (401113002213202), we get a palindrome (603425202524306).

The spelling of 202312200311104 in words is "two hundred two trillion, three hundred twelve billion, two hundred million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1619 1888 3068 3238 3776 6136 6476 12272 12952 21047 24544 25904 42094 49088 51808 84188 95521 103616 168376 191042 336752 382084 673504 764168 1241773 1347008 1528336 2483546 2545657 3056672 4967092 5091314 6113344 9934184 10182628 19868368 20365256 33093541 39736736 40730512 66187082 79473472 81461024 132374164 150193763 162922048 264748328 300387526 529496656 600775052 1058993312 1201550104 1952518919 2117986624 2403100208 3905037838 4121418683 4806200416 7810075676 8242837366 9612400832 15620151352 16485674732 31240302704 32971349464 53578442879 62480605408 65942698928 107156885758 124961210816 131885397856 214313771516 243163702297 263770795712 428627543032 486327404594 857255086064 972654809188 1714510172128 1945309618376 3161128129861 3429020344256 3890619236752 6322256259722 7781238473504 12644512519444 15562476947008 25289025038888 50578050077776 101156100155552 202312200311104