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1102232300120 = 235767347169321
BaseRepresentation
bin10000000010100010001…
…010100010101001011000
310220101001110112100210222
4100002202022202221120
5121024332432100440
62202205235255212
7142430225652110
oct20024212425130
93811043470728
101102232300120
113954aa442126
1215975344a508
137cc2b408813
143b4c3b52040
151da1194d2b5
hex100a22a2a58

1102232300120 has 128 divisors (see below), whose sum is σ = 2884921781760. Its totient is φ = 371192785920.

The previous prime is 1102232300111. The next prime is 1102232300123. The reversal of 1102232300120 is 210032322011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102232300123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6425060 + ... + 6594380.

It is an arithmetic number, because the mean of its divisors is an integer number (22538451420).

Almost surely, 21102232300120 is an apocalyptic number.

1102232300120 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 1102232300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442460890880).

1102232300120 is an abundant number, since it is smaller than the sum of its proper divisors (1782689481640).

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

1102232300120 is a wasteful number, since it uses less digits than its factorization.

1102232300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169753 (or 169749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1102232300120 its reverse (210032322011), we get a palindrome (1312264622131).

The spelling of 1102232300120 in words is "one trillion, one hundred two billion, two hundred thirty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 347 469 536 670 694 938 1340 1388 1735 1876 2345 2429 2680 2776 3470 3752 4690 4858 6940 9380 9716 12145 13880 18760 19432 23249 24290 46498 48580 92996 97160 116245 162743 169321 185992 232490 325486 338642 464980 650972 677284 813715 846605 929960 1185247 1301944 1354568 1627430 1693210 2370494 3254860 3386420 4740988 5926235 6509720 6772840 9481976 11344507 11852470 22689014 23704940 45378028 47409880 56722535 58754387 79411549 90756056 113445070 117508774 158823098 226890140 235017548 293771935 317646196 397057745 411280709 453780280 470035096 587543870 635292392 794115490 822561418 1175087740 1588230980 1645122836 2056403545 2350175480 3176461960 3290245672 3936543929 4112807090 7873087858 8225614180 15746175716 16451228360 19682719645 27555807503 31492351432 39365439290 55111615006 78730878580 110223230012 137779037515 157461757160 220446460024 275558075030 551116150060 1102232300120