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103101113210232 = 23379263496741627
BaseRepresentation
bin10111011100010100011001…
…001110101001010101111000
3111112001100222211221002100010
4113130110121032221111320
5102003202034440211412
61003135555245141520
730500544461410614
oct2734243116512570
9445040884832303
10103101113210232
112a93aa33626305
12b69182a25a8a0
13456b515cb0057
141b66198946344
15bdbd6ad4333c
hex5dc5193a9578

103101113210232 has 128 divisors (see below), whose sum is σ = 262066975948800. Its totient is φ = 33795375489408.

The previous prime is 103101113210201. The next prime is 103101113210261. The reversal of 103101113210232 is 232012311101301.

It is a junction number, because it is equal to n+sod(n) for n = 103101113210199 and 103101113210208.

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, 2476763803 + ... + 2476805429.

It is an arithmetic number, because the mean of its divisors is an integer number (2047398249600).

Almost surely, 2103101113210232 is an apocalyptic number.

103101113210232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103101113210232 is an abundant number, since it is smaller than the sum of its proper divisors (158965862738568).

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

103101113210232 is a wasteful number, since it uses less digits than its factorization.

103101113210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46945 (or 46941 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103101113210232 its reverse (232012311101301), we get a palindrome (335113424311533).

The spelling of 103101113210232 in words is "one hundred three trillion, one hundred one billion, one hundred thirteen million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 263 316 474 526 632 789 948 1052 1578 1896 2104 3156 4967 6312 9934 14901 19868 20777 29802 39736 41554 41627 59604 62331 83108 83254 119208 124662 124881 166216 166508 249324 249762 333016 392393 498648 499524 784786 999048 1177179 1306321 1569572 2354358 2612642 3139144 3288533 3918963 4708716 5225284 6577066 7837926 9417432 9865599 10450568 10947901 13154132 15675852 19731198 21895802 26308264 31351704 32843703 39462396 43791604 65687406 78924792 87583208 103199359 131374812 206398718 206761309 262749624 309598077 412797436 413522618 619196154 620283927 825594872 827045236 864884179 1238392308 1240567854 1654090472 1729768358 2476784616 2481135708 2594652537 3459536716 4962271416 5189305074 6919073432 10378610148 16334143411 20757220296 32668286822 49002430233 54378224267 65336573644 98004860466 108756448534 130673147288 163134672801 196009720932 217512897068 326269345602 392019441864 435025794136 652538691204 1305077382408 4295879717093 8591759434186 12887639151279 17183518868372 25775278302558 34367037736744 51550556605116 103101113210232