Search a number
-
+
100011202012000 = 2553125131199813
BaseRepresentation
bin10110101111010110101100…
…001010110110001101100000
3111010002222101121212200220001
4112233112230022312031200
5101102040420203341000
6552412302324425344
730031366550522326
oct2657265412661540
9433088347780801
10100011202012000
1129959570281634
12b272a11248254
1343a6028b80606
141a9a7d4869d16
15b867c2e6446a
hex5af5ac2b6360

100011202012000 has 96 divisors (see below), whose sum is σ = 245730716902944. Its totient is φ = 40003960896000.

The previous prime is 100011202011997. The next prime is 100011202012019. The reversal of 100011202012000 is 210202110001.

100011202012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500424094 + ... + 500623906.

It is an arithmetic number, because the mean of its divisors is an integer number (2559694967739).

Almost surely, 2100011202012000 is an apocalyptic number.

100011202012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011202012000 is an abundant number, since it is smaller than the sum of its proper divisors (145719514890944).

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

100011202012000 is a wasteful number, since it uses less digits than its factorization.

100011202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324969 (or 324951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011202012000 its reverse (210202110001), we get a palindrome (100221404122001).

The spelling of 100011202012000 in words is "one hundred trillion, eleven billion, two hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 125131 199813 250262 399626 500524 625655 799252 999065 1001048 1251310 1598504 1998130 2002096 2502620 3128275 3197008 3996260 4004192 4995325 5005240 6256550 6394016 7992520 9990650 10010480 12513100 15641375 15985040 19981300 20020960 24976625 25026200 31282750 31970080 39962600 49953250 50052400 62565500 79925200 99906500 100104800 125131000 159850400 199813000 250262000 399626000 500524000 799252000 25002800503 50005601006 100011202012 125014002515 200022404024 250028005030 400044808048 500056010060 625070012575 800089616096 1000112020120 1250140025150 2000224040240 2500280050300 3125350062875 4000448080480 5000560100600 6250700125750 10001120201200 12501400251500 20002240402400 25002800503000 50005601006000 100011202012000