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13552020030 = 235732103823
BaseRepresentation
bin11001001111100001…
…10110101000111110
31021222110111221120210
430213300312220332
5210223304120110
610120430453250
7656555161323
oct144760665076
937873457523
1013552020030
11582484225a
122762664226
13137c86b783
14927bc2b4a
15544b43520
hex327c36a3e

13552020030 has 96 divisors (see below), whose sum is σ = 33337115136. Its totient is φ = 3525472512.

The previous prime is 13552020029. The next prime is 13552020061. The reversal of 13552020030 is 3002025531.

It is a junction number, because it is equal to n+sod(n) for n = 13552019979 and 13552020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16466199 + ... + 16467021.

It is an arithmetic number, because the mean of its divisors is an integer number (347261616).

Almost surely, 213552020030 is an apocalyptic number.

13552020030 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 13552020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668557568).

13552020030 is an abundant number, since it is smaller than the sum of its proper divisors (19785095106).

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

13552020030 is a wasteful number, since it uses less digits than its factorization.

13552020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 13552020030 its reverse (3002025531), we get a palindrome (16554045561).

The spelling of 13552020030 in words is "thirteen billion, five hundred fifty-two million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 103 146 206 219 309 365 438 515 618 730 823 1030 1095 1545 1646 2190 2469 3090 4115 4938 5329 7519 8230 10658 12345 15038 15987 22557 24690 26645 31974 37595 45114 53290 60079 75190 79935 84769 112785 120158 159870 169538 180237 225570 254307 300395 360474 423845 508614 548887 600790 847690 901185 1097774 1271535 1646661 1802370 2543070 2744435 3293322 4385767 5488870 6188137 8233305 8771534 12376274 13157301 16466610 18564411 21928835 26314602 30940685 37128822 43857670 61881370 65786505 92822055 131573010 185644110 451734001 903468002 1355202003 2258670005 2710404006 4517340010 6776010015 13552020030