Search a number
-
+
101102333300320 = 25511179893193313
BaseRepresentation
bin10110111111001110111000…
…101010011000111001100000
3111020222021210102220020022211
4112333032320222120321200
5101222430034311102240
6555005434251011504
730203255032453522
oct2677167052307140
9436867712806284
10101102333300320
112a23a293463240
12b40a386a39b94
134454ba84555a1
141ad7544135a12
15ba4d8501dbea
hex5bf3b8a98e60

101102333300320 has 96 divisors (see below), whose sum is σ = 260582852748960. Its totient is φ = 36762429603840.

The previous prime is 101102333300209. The next prime is 101102333300363. The reversal of 101102333300320 is 23003333201101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101102333300291 and 101102333300300.

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, 30063984 + ... + 33257296.

It is an arithmetic number, because the mean of its divisors is an integer number (2714404716135).

Almost surely, 2101102333300320 is an apocalyptic number.

101102333300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102333300320 is an abundant number, since it is smaller than the sum of its proper divisors (159480519448640).

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

101102333300320 is a wasteful number, since it uses less digits than its factorization.

101102333300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211328 (or 3211320 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 101102333300320 its reverse (23003333201101), we get a palindrome (124105666501421).

It can be divided in two parts, 1011023 and 33300320, that added together give a palindrome (34311343).

The spelling of 101102333300320 in words is "one hundred one trillion, one hundred two billion, three hundred thirty-three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 17989 35978 71956 89945 143912 179890 197879 287824 359780 395758 575648 719560 791516 989395 1439120 1583032 1978790 2878240 3166064 3193313 3957580 6332128 6386626 7915160 12773252 15830320 15966565 25546504 31660640 31933130 35126443 51093008 63866260 70252886 102186016 127732520 140505772 175632215 255465040 281011544 351264430 510930080 562023088 702528860 1124046176 1405057720 2810115440 5620230880 57444507557 114889015114 229778030228 287222537785 459556060456 574445075570 631889583127 919112120912 1148890151140 1263779166254 1838224241824 2297780302280 2527558332508 3159447915635 4595560604560 5055116665016 6318895831270 9191121209120 10110233330032 12637791662540 20220466660064 25275583325080 50551166650160 101102333300320