Search a number
-
+
103210322232120 = 233523170921881243
BaseRepresentation
bin10111011101111010000110…
…100110000000001100111000
3111112102210212210222012201120
4113131322012212000030320
5102011444214442411440
61003302100101345240
730511461666651465
oct2735720646001470
9445383783865646
10103210322232120
112a9822852378a4
12b6aaa28108220
1345788cb66566c
141b6b598a6c66c
15bdeb0d796dd0
hex5dde86980338

103210322232120 has 128 divisors (see below), whose sum is σ = 323282251353600. Its totient is φ = 26310705580544.

The previous prime is 103210322232109. The next prime is 103210322232139. The reversal of 103210322232120 is 21232223012301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6223782 + ... + 15657461.

It is an arithmetic number, because the mean of its divisors is an integer number (2525642588700).

Almost surely, 2103210322232120 is an apocalyptic number.

103210322232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103210322232120 is an abundant number, since it is smaller than the sum of its proper divisors (220071929121480).

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

103210322232120 is a wasteful number, since it uses less digits than its factorization.

103210322232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21882989 (or 21882985 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103210322232120 its reverse (21232223012301), we get a palindrome (124442545244421).

The spelling of 103210322232120 in words is "one hundred three trillion, two hundred ten billion, three hundred twenty-two million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1709 2760 3418 5127 6836 8545 10254 13672 17090 20508 25635 34180 39307 41016 51270 68360 78614 102540 117921 157228 196535 205080 235842 314456 393070 471684 589605 786140 943368 1179210 1572280 2358420 4716840 21881243 43762486 65643729 87524972 109406215 131287458 175049944 218812430 262574916 328218645 437624860 503268589 525149832 656437290 875249720 1006537178 1312874580 1509805767 2013074356 2516342945 2625749160 3019611534 4026148712 5032685890 6039223068 7549028835 10065371780 12078446136 15098057670 20130743560 30196115340 37395044287 60392230680 74790088574 112185132861 149580177148 186975221435 224370265722 299160354296 373950442870 448740531444 560925664305 747900885740 860086018601 897481062888 1121851328610 1495801771480 1720172037202 2243702657220 2580258055803 3440344074404 4300430093005 4487405314440 5160516111606 6880688148808 8600860186010 10321032223212 12901290279015 17201720372020 20642064446424 25802580558030 34403440744040 51605161116060 103210322232120