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230312101213032 = 233193723358586057
BaseRepresentation
bin110100010111011110110110…
…111110101111001101101000
31010012110121210022211011022220
4310113132312332233031220
5220141413140402304112
62133455530232514040
766340333366400016
oct6427366676571550
91105417708734286
10230312101213032
11674258a4a02103
12219b804084b920
139b6845163b1c7
1440c32453598b6
151b95e2dadb98c
hexd177b6faf368

230312101213032 has 128 divisors (see below), whose sum is σ = 625136673283200. Its totient is φ = 70460746518528.

The previous prime is 230312101213003. The next prime is 230312101213049.

230312101213032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230312101212993 and 230312101213011.

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, 25361853 + ... + 33224204.

It is an arithmetic number, because the mean of its divisors is an integer number (4883880260025).

Almost surely, 2230312101213032 is an apocalyptic number.

It is an amenable number.

230312101213032 is an abundant number, since it is smaller than the sum of its proper divisors (394824572070168).

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

230312101213032 is a wasteful number, since it uses less digits than its factorization.

230312101213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58586355 (or 58586351 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 23031210 and 1213032, that added together give a palindrome (24244242).

The spelling of 230312101213032 in words is "two hundred thirty trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 233 296 444 456 466 699 703 888 932 1398 1406 1864 2109 2796 2812 4218 4427 5592 5624 8436 8621 8854 13281 16872 17242 17708 25863 26562 34484 35416 51726 53124 68968 103452 106248 163799 206904 327598 491397 655196 982794 1310392 1965588 3931176 58586057 117172114 175758171 234344228 351516342 468688456 703032684 1113135083 1406065368 2167684109 2226270166 3339405249 4335368218 4452540332 6503052327 6678810498 8670736436 8905080664 13006104654 13357620996 13650551281 17341472872 26012209308 26715241992 27301102562 40951653843 41185998071 52024418616 54602205124 81903307686 82371996142 109204410248 123557994213 163806615372 164743992284 247115988426 259360474339 327613230744 329487984568 494231976852 505070397397 518720948678 778081423017 988463953704 1010140794794 1037441897356 1515211192191 1556162846034 2020281589588 2074883794712 3030422384382 3112325692068 4040563179176 6060844768764 6224651384136 9596337550543 12121689537528 19192675101086 28789012651629 38385350202172 57578025303258 76770700404344 115156050606516 230312101213032