Search a number
-
+
100200022012212 = 22337199224468449
BaseRepresentation
bin10110110010000110100010…
…101101111111000100110100
3111010210000202211000112212020
4112302012202231333010310
5101113134121113342322
6553035131000353140
730051132645165633
oct2662064255770464
9433700684015766
10100200022012212
1129a21655242491
12b2a35287757b0
1343baa8aba13a5
141aa59c7bc351a
15b8b674b4105c
hex5b21a2b7f134

100200022012212 has 24 divisors (see below), whose sum is σ = 233806337520000. Its totient is φ = 33399109314816.

The previous prime is 100200022012183. The next prime is 100200022012213. The reversal of 100200022012212 is 212210220002001.

100200022012212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002000220122122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100200022012191 and 100200022012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200022012213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111787837 + ... + 112680612.

It is an arithmetic number, because the mean of its divisors is an integer number (9741930730000).

Almost surely, 2100200022012212 is an apocalyptic number.

100200022012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200022012212 is an abundant number, since it is smaller than the sum of its proper divisors (133606315507788).

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

100200022012212 is a wasteful number, since it uses less digits than its factorization.

100200022012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224505655 (or 224505653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100200022012212 its reverse (212210220002001), we get a palindrome (312410242014213).

The spelling of 100200022012212 in words is "one hundred trillion, two hundred billion, twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37199 74398 111597 148796 223194 446388 224468449 448936898 673405347 897873796 1346810694 2693621388 8350001834351 16700003668702 25050005503053 33400007337404 50100011006106 100200022012212