Search a number
-
+
101322310332000 = 253538443525861
BaseRepresentation
bin10111000010011011110000…
…010100001010111001100000
3111021202022121000111021110110
4113002123300110022321200
5101240031042421111000
6555254454330131320
730225203206413432
oct2702336024127140
9437668530437413
10101322310332000
112a314606795a7a
12b444b38880b40
13446c864469b64
141b04051440652
15baa95c1c3850
hex5c26f050ae60

101322310332000 has 96 divisors (see below), whose sum is σ = 331931888686944. Its totient is φ = 27019282752000.

The previous prime is 101322310331989. The next prime is 101322310332013. The reversal of 101322310332000 is 233013223101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1013223103320002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221750931 + ... + 4221774930.

It is an arithmetic number, because the mean of its divisors is an integer number (3457623840489).

Almost surely, 2101322310332000 is an apocalyptic number.

101322310332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322310332000 is an abundant number, since it is smaller than the sum of its proper divisors (230609578354944).

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

101322310332000 is an equidigital number, since it uses as much as digits as its factorization.

101322310332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443525889 (or 8443525871 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101322310332000 its reverse (233013223101), we get a palindrome (101555323555101).

The spelling of 101322310332000 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred ten million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8443525861 16887051722 25330577583 33774103444 42217629305 50661155166 67548206888 84435258610 101322310332 126652887915 135096413776 168870517220 202644620664 211088146525 253305775830 270192827552 337741034440 405289241328 422176293050 506611551660 633264439575 675482068880 810578482656 844352586100 1013223103320 1055440732625 1266528879150 1350964137760 1688705172200 2026446206640 2110881465250 2533057758300 3166322197875 3377410344400 4052892413280 4221762930500 5066115516600 6332644395750 6754820688800 8443525861000 10132231033200 12665288791500 16887051722000 20264462066400 25330577583000 33774103444000 50661155166000 101322310332000