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103203044406 = 233711171460021
BaseRepresentation
bin110000000011101100…
…0010111110000110110
3100212101101201212011000
41200013120113300312
53142324434410111
6115224423224130
710312316255250
oct1400730276066
9325341655130
10103203044406
113a84a478840
12180025a8046
1399692a5ba7
144dd05dccd0
152a40539c56
hex1807617c36

103203044406 has 128 divisors (see below), whose sum is σ = 302750161920. Its totient is φ = 25229145600.

The previous prime is 103203044377. The next prime is 103203044453. The reversal of 103203044406 is 604440302301.

103203044406 is a `hidden beast` number, since 10 + 3 + 203 + 0 + 4 + 440 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103203044406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659325 + ... + 800696.

It is an arithmetic number, because the mean of its divisors is an integer number (2365235640).

Almost surely, 2103203044406 is an apocalyptic number.

103203044406 is an abundant number, since it is smaller than the sum of its proper divisors (199547117514).

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

103203044406 is a wasteful number, since it uses less digits than its factorization.

103203044406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460067 (or 1460061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103203044406 its reverse (604440302301), we get a palindrome (707643346707).

The spelling of 103203044406 in words is "one hundred three billion, two hundred three million, forty-four thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 10098 11781 23562 35343 70686 1460021 2920042 4380063 8760126 10220147 13140189 16060231 20440294 24820357 26280378 30660441 32120462 39420567 48180693 49640714 61320882 74461071 78841134 91981323 96361386 112421617 144542079 148922142 173742499 183962646 223383213 224843234 273023927 275943969 289084158 337264851 347484998 433626237 446766426 521227497 546047854 551887938 670149639 674529702 819071781 867252474 1011794553 1042454994 1340299278 1563682491 1638143562 1911167489 2023589106 2457215343 3035383659 3127364982 3822334978 4691047473 4914430686 5733502467 6070767318 7371646029 9382094946 11467004934 14743292058 17200507401 34401014802 51601522203 103203044406