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23311120133100 = 2235299317782381
BaseRepresentation
bin1010100110011100010110…
…00010001110101111101100
310001112112002001011002201110
411103032023002032233230
511023412133223224400
6121324551501512020
74624113200541432
oct523161302165754
9101475061132643
1023311120133100
117478210660658
122745a26b72610
1310012c970c547
145a839b0b8d52
152a6598157e50
hex15338b08ebec

23311120133100 has 72 divisors (see below), whose sum is σ = 67447606233168. Its totient is φ = 6216228166400.

The previous prime is 23311120133053. The next prime is 23311120133101. The reversal of 23311120133100 is 133102111332.

It is a happy number.

It is a super-2 number, since 2×233111201331002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23311120133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29403910 + ... + 30186290.

It is an arithmetic number, because the mean of its divisors is an integer number (936772308794).

Almost surely, 223311120133100 is an apocalyptic number.

23311120133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311120133100 is an abundant number, since it is smaller than the sum of its proper divisors (44136486100068).

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

23311120133100 is a wasteful number, since it uses less digits than its factorization.

23311120133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881715 (or 881708 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 23311120133100 its reverse (133102111332), we get a palindrome (23444222244432).

The spelling of 23311120133100 in words is "twenty-three trillion, three hundred eleven billion, one hundred twenty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 99317 198634 297951 397268 496585 595902 782381 993170 1191804 1489755 1564762 1986340 2347143 2482925 2979510 3129524 3911905 4694286 4965850 5959020 7448775 7823810 9388572 9931700 11735715 14897550 15647620 19559525 23471430 29795100 39119050 46942860 58678575 78238100 117357150 234714300 77703733777 155407467554 233111201331 310814935108 388518668885 466222402662 777037337770 932444805324 1165556006655 1554074675540 1942593344425 2331112013310 3885186688850 4662224026620 5827780033275 7770373377700 11655560066550 23311120133100