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103003213333332 = 2231322771010318149
BaseRepresentation
bin10111011010111001001101…
…111100010000001101010100
3111111201000022001001001101110
4113122321031330100031110
5102000101040103131312
61003023004543055020
730460510435241154
oct2732711574201524
9444630261031343
10103003213333332
112a902465702834
12b6768678a1470
134562213602500
141b6154c7a4764
15bd953b19743c
hex5dae4df10354

103003213333332 has 144 divisors (see below), whose sum is σ = 261230501347200. Its totient is φ = 31574014677504.

The previous prime is 103003213333309. The next prime is 103003213333351. The reversal of 103003213333332 is 233333312300301.

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 103003213333332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5675411794 + ... + 5675429942.

It is an arithmetic number, because the mean of its divisors is an integer number (1814100703800).

Almost surely, 2103003213333332 is an apocalyptic number.

103003213333332 is a gapful number since it is divisible by the number (12) 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 103003213333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130615250673600).

103003213333332 is an abundant number, since it is smaller than the sum of its proper divisors (158227288013868).

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

103003213333332 is a wasteful number, since it uses less digits than its factorization.

103003213333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28562 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 103003213333332 its reverse (233333312300301), we get a palindrome (336336525633633).

The spelling of 103003213333332 in words is "one hundred three trillion, three billion, two hundred thirteen million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 277 338 507 554 676 831 1014 1108 1662 2028 3324 3601 7202 10103 10803 14404 18149 20206 21606 30309 36298 40412 43212 46813 54447 60618 72596 93626 108894 121236 131339 140439 187252 217788 235937 262678 280878 394017 471874 525356 561756 707811 788034 943748 1415622 1576068 1707407 2798531 2831244 3067181 3414814 5027273 5122221 5597062 6134362 6829628 8395593 9201543 10054546 10244442 11194124 12268724 15081819 16791186 18403086 20109092 20488884 30163638 33582372 36380903 36806172 60327276 65354549 72761806 109142709 130709098 145523612 183359347 196063647 218285418 261418196 366718694 392127294 436570836 472951739 550078041 733437388 784254588 849609137 945903478 1100156082 1418855217 1699218274 1891806956 2200312164 2383671511 2548827411 2837710434 3398436548 4767343022 5097654822 5675420868 7151014533 9534686044 10195309644 14302029066 28604058132 30987729643 50790539119 61975459286 92963188929 101581078238 123950918572 152371617357 185926377858 203162156476 304743234714 371852755716 609486469428 660277008547 1320554017094 1980831025641 2641108034188 3961662051282 7923324102564 8583601111111 17167202222222 25750803333333 34334404444444 51501606666666 103003213333332