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103233023103320 = 235112315101675511
BaseRepresentation
bin10111011110001111001111…
…101010111101000101011000
3111112111222110212122221201222
4113132033033222331011120
5102012332212403301240
61003320332432031212
730513224356120445
oct2736171752750530
9445458425587658
10103233023103320
112a990974298380
12b6b3302692508
13457aaa8770426
141b6c70d9329cc
15be04db6baeb5
hex5de3cfabd158

103233023103320 has 128 divisors (see below), whose sum is σ = 264425011246080. Its totient is φ = 35904707520000.

The previous prime is 103233023103313. The next prime is 103233023103383. The reversal of 103233023103320 is 23301320332301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103233023103320.

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, 152484365 + ... + 153159875.

It is an arithmetic number, because the mean of its divisors is an integer number (2065820400360).

Almost surely, 2103233023103320 is an apocalyptic number.

103233023103320 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 103233023103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132212505623040).

103233023103320 is an abundant number, since it is smaller than the sum of its proper divisors (161191988142760).

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

103233023103320 is a wasteful number, since it uses less digits than its factorization.

103233023103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690657 (or 690653 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 103233023103320 its reverse (23301320332301), we get a palindrome (126534343435621).

The spelling of 103233023103320 in words is "one hundred three trillion, two hundred thirty-three billion, twenty-three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 15101 30202 60404 75505 120808 151010 166111 302020 332222 347323 604040 664444 675511 694646 830555 1328888 1351022 1389292 1661110 1736615 2702044 2778584 3322220 3377555 3473230 3820553 5404088 6644440 6755110 6946460 7430621 7641106 13510220 13892920 14861242 15282212 15536753 19102765 27020440 29722484 30564424 31073506 37153105 38205530 59444968 62147012 74306210 76411060 77683765 124294024 148612420 152822120 155367530 170904283 297224840 310735060 341808566 621470120 683617132 854521415 1367234264 1709042830 3418085660 6836171320 10200891611 20401783222 40803566444 51004458055 81607132888 102008916110 112209807721 204017832220 224419615442 234620507053 408035664440 448839230884 469241014106 561049038605 897678461768 938482028212 1122098077210 1173102535265 1876964056424 2244196154420 2346205070530 2580825577583 4488392308840 4692410141060 5161651155166 9384820282120 10323302310332 12904127887915 20646604620664 25808255775830 51616511551660 103233023103320