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103268209788 = 223267715231153
BaseRepresentation
bin110000000101101000…
…0111101010001111100
3100212112221100121020200
41200023100331101330
53142443130203123
6115235112043500
710314040204632
oct1401320752174
9325487317220
10103268209788
113a883237527
1218020393590
139979940ca3
144dd9123352
152a4610d143
hex180b43d47c

103268209788 has 144 divisors (see below), whose sum is σ = 269413837056. Its totient is φ = 33338511360.

The previous prime is 103268209783. The next prime is 103268209799. The reversal of 103268209788 is 887902862301.

It is a happy number.

103268209788 is a `hidden beast` number, since 103 + 268 + 209 + 78 + 8 = 666.

103268209788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103268209783) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89564220 + ... + 89565372.

It is an arithmetic number, because the mean of its divisors is an integer number (1870929424).

Almost surely, 2103268209788 is an apocalyptic number.

103268209788 is a gapful number since it is divisible by the number (18) 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 103268209788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134706918528).

103268209788 is an abundant number, since it is smaller than the sum of its proper divisors (166145627268).

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

103268209788 is a wasteful number, since it uses less digits than its factorization.

103268209788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 103268209788 in words is "one hundred three billion, two hundred sixty-eight million, two hundred nine thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 71 134 142 201 213 268 284 402 426 523 603 639 804 852 1046 1153 1206 1278 1569 2092 2306 2412 2556 3138 3459 4612 4707 4757 6276 6918 9414 9514 10377 13836 14271 18828 19028 20754 28542 35041 37133 41508 42813 57084 70082 74266 77251 81863 85626 105123 111399 140164 148532 154502 163726 171252 210246 222798 231753 245589 309004 315369 327452 334197 420492 445596 463506 491178 603019 630738 668394 695259 736767 927012 982356 1206038 1261476 1336788 1390518 1473534 1809057 2412076 2487911 2781036 2947068 3618114 4975822 5427171 5484821 7236228 7463733 9951644 10854342 10969642 14927466 16454463 21708684 21939284 22391199 29854932 32908926 40402273 42814349 44782398 49363389 65817852 80804546 85628698 89564796 98726778 121206819 128443047 161609092 171257396 197453556 242413638 256886094 363620457 385329141 484827276 513772188 727240914 770658282 1454481828 1541316564 2868561383 5737122766 8605684149 11474245532 17211368298 25817052447 34422736596 51634104894 103268209788