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103100133123330 = 23571494337609669
BaseRepresentation
bin10111011100010011011110…
…110011111010010100000010
3111112001021110112201111212020
4113130103132303322110002
5102003143033034421310
61003135314114342310
730500511260664450
oct2734233663722402
9445037415644766
10103100133123330
112a93a580373532
12b6915b5b8a996
13456b3bac25885
141b661046dd9d0
15bdbd0ec97170
hex5dc4decfa502

103100133123330 has 128 divisors (see below), whose sum is σ = 285344361792000. Its totient is φ = 23353523195904.

The previous prime is 103100133123319. The next prime is 103100133123367. The reversal of 103100133123330 is 33321331001301.

It is a self number, because there is not a number n which added to its sum of digits gives 103100133123330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9743736 + ... + 17353404.

It is an arithmetic number, because the mean of its divisors is an integer number (2229252826500).

Almost surely, 2103100133123330 is an apocalyptic number.

103100133123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103100133123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142672180896000).

103100133123330 is an abundant number, since it is smaller than the sum of its proper divisors (182244228668670).

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

103100133123330 is a wasteful number, since it uses less digits than its factorization.

103100133123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610268.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103100133123330 its reverse (33321331001301), we get a palindrome (136421464124631).

The spelling of 103100133123330 in words is "one hundred three trillion, one hundred billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 433 447 745 866 894 1043 1299 1490 2086 2165 2235 2598 3031 3129 4330 4470 5215 6062 6258 6495 9093 10430 12990 15155 15645 18186 30310 31290 45465 64517 90930 129034 193551 322585 387102 451619 645170 903238 967755 1354857 1935510 2258095 2709714 4516190 6774285 7609669 13548570 15219338 22829007 38048345 45658014 53267683 76096690 106535366 114145035 159803049 228290070 266338415 319606098 532676830 799015245 1133840681 1598030490 2267681362 3294986677 3401522043 5669203405 6589973354 6803044086 7936884767 9884960031 11338406810 15873769534 16474933385 17007610215 19769920062 23064906739 23810654301 32949866770 34015220430 39684423835 46129813478 47621308602 49424800155 69194720217 79368847670 98849600310 115324533695 119053271505 138389440434 230649067390 238106543010 345973601085 490953014873 691947202170 981906029746 1472859044619 2454765074365 2945718089238 3436671104111 4909530148730 6873342208222 7364295223095 10310013312333 14728590446190 17183355520555 20620026624666 34366711041110 51550066561665 103100133123330