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103010233220100 = 223252373093400397
BaseRepresentation
bin10111011010111111110000…
…010110111111110000000100
3111111201200102021012020200200
4113122333300112333300010
5102000204424201020400
61003030125311410500
730461146415265303
oct2732776026776004
9444650367166620
10103010233220100
112a9054381aa648
12b6780a6823a30
134562a91a7c16b
141b61a16c1a43a
15bd97ec5ddb00
hex5daff05bfc04

103010233220100 has 108 divisors (see below), whose sum is σ = 331606335864804. Its totient is φ = 26726979421440.

The previous prime is 103010233220099. The next prime is 103010233220207. The reversal of 103010233220100 is 1022332010301.

103010233220100 is a `hidden beast` number, since 1 + 0 + 30 + 102 + 332 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 512953899264 + 102497279320836 = 716208^2 + 10124094^2 .

It is a super-2 number, since 2×1030102332201002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1546666899 + ... + 1546733498.

Almost surely, 2103010233220100 is an apocalyptic number.

103010233220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010233220100 is an abundant number, since it is smaller than the sum of its proper divisors (228596102644704).

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

103010233220100 is a wasteful number, since it uses less digits than its factorization.

103010233220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093400454 (or 3093400444 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103010233220100 its reverse (1022332010301), we get a palindrome (104032565230401).

The spelling of 103010233220100 in words is "one hundred three trillion, ten billion, two hundred thirty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 3093400397 6186800794 9280201191 12373601588 15467001985 18560402382 27840603573 30934003970 37120804764 46401005955 55681207146 61868007940 77335009925 92802011910 111362414292 114455814689 139203017865 154670019850 185604023820 228911629378 232005029775 278406035730 309340039700 343367444067 457823258756 464010059550 556812071460 572279073445 686734888134 696015089325 928020119100 1030102332201 1144558146890 1373469776268 1392030178650 1716837220335 2060204664402 2289116293780 2784060357300 2861395367225 3433674440670 4120409328804 5150511661005 5722790734450 6867348881340 8584186101675 10301023322010 11445581468900 17168372203350 20602046644020 25752558305025 34336744406700 51505116610050 103010233220100