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101101133320 = 2351119101119737
BaseRepresentation
bin101111000101000011…
…0001101111000001000
3100122221220121201012021
41132022012031320020
53124023342231240
6114240100054224
710206244311505
oct1361206157010
9318856551167
10101101133320
1139970a54940
1217716694374
1396c2999215
144c713b64ac
15296ac4654a
hex178a18de08

101101133320 has 128 divisors (see below), whose sum is σ = 263806761600. Its totient is φ = 34483968000.

The previous prime is 101101133267. The next prime is 101101133323. The reversal of 101101133320 is 23331101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101133294 and 101101133303.

It is not an unprimeable number, because it can be changed into a prime (101101133323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784492 + ... + 904228.

It is an arithmetic number, because the mean of its divisors is an integer number (2060990325).

Almost surely, 2101101133320 is an apocalyptic number.

101101133320 is a gapful number since it is divisible by the number (10) 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 101101133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131903380800).

101101133320 is an abundant number, since it is smaller than the sum of its proper divisors (162705628280).

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

101101133320 is a wasteful number, since it uses less digits than its factorization.

101101133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119879 (or 119875 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101101133320 its reverse (23331101101), we get a palindrome (124432234421).

The spelling of 101101133320 in words is "one hundred one billion, one hundred one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 190 202 209 220 380 404 418 440 505 760 808 836 1010 1045 1111 1672 1919 2020 2090 2222 3838 4040 4180 4444 5555 7676 8360 8888 9595 11110 15352 19190 21109 22220 38380 42218 44440 76760 84436 105545 119737 168872 211090 239474 422180 478948 598685 844360 957896 1197370 1317107 2275003 2394740 2634214 4550006 4789480 5268428 6585535 9100012 10536856 11375015 12093437 13171070 18200024 22750030 24186874 25025033 26342140 45500060 48373748 50050066 52684280 60467185 91000120 96747496 100100132 120934370 125125165 133027807 200200264 229775303 241868740 250250330 266055614 459550606 483737480 500500660 532111228 665139035 919101212 1001001320 1064222456 1148876515 1330278070 1838202424 2297753030 2527528333 2660556140 4595506060 5055056666 5321112280 9191012120 10110113332 12637641665 20220226664 25275283330 50550566660 101101133320