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230002031201100 = 2235214291715931267
BaseRepresentation
bin110100010010111110000101…
…010111100000101101001100
31010011100222110000101112010220
4310102332011113200231030
5220121323124441413400
62133101250252231340
766306045513646104
oct6422760527405514
91104328400345126
10230002031201100
116731634a5218a4
1221967b26a6b550
139b4513847b072
1440b222ca6c204
151b8cd323407a0
hexd12f855e0b4c

230002031201100 has 144 divisors (see below), whose sum is σ = 665998344211200. Its totient is φ = 61285422078720.

The previous prime is 230002031201003. The next prime is 230002031201113. The reversal of 230002031201100 is 1102130200032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230002031201100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7356047667 + ... + 7356078933.

Almost surely, 2230002031201100 is an apocalyptic number.

230002031201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230002031201100 is an abundant number, since it is smaller than the sum of its proper divisors (435996313010100).

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

230002031201100 is a wasteful number, since it uses less digits than its factorization.

230002031201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49872 (or 49865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230002031201100 its reverse (1102130200032), we get a palindrome (231104161401132).

The spelling of 230002031201100 in words is "two hundred thirty trillion, two billion, thirty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1429 2858 4287 5716 7145 8574 14290 17148 17159 21435 28580 31267 34318 35725 42870 51477 62534 68636 71450 85740 85795 93801 102954 107175 125068 142900 156335 171590 187602 205908 214350 257385 312670 343180 375204 428700 428975 469005 514770 625340 781675 857950 938010 1029540 1286925 1563350 1715900 1876020 2345025 2573850 3126700 4690050 5147700 9380100 24520211 44680543 49040422 73560633 89361086 98080844 122601055 134041629 147121266 178722172 223402715 245202110 268083258 294242532 367803165 446805430 490404220 536166516 536510453 613005275 670208145 735606330 893610860 1073020906 1117013575 1226010550 1340416290 1471212660 1609531359 1839015825 2146041812 2234027150 2452021100 2680832580 2682552265 3219062718 3351040725 3678031650 4468054300 5365104530 6438125436 6702081450 7356063300 8047656795 10730209060 13404162900 13412761325 16095313590 26825522650 32190627180 40238283975 53651045300 80476567950 160953135900 766673437337 1533346874674 2300020312011 3066693749348 3833367186685 4600040624022 7666734373370 9200081248044 11500101560055 15333468746740 19166835933425 23000203120110 38333671866850 46000406240220 57500507800275 76667343733700 115001015600550 230002031201100