Search a number
-
+
101124202034212 = 22721492573456721
BaseRepresentation
bin10110111111100011010000…
…001000111111010000100100
3111021001101020111210000112221
4112333203100020333100210
5101223304331210043322
6555023452253522124
730204660665566300
oct2677432010772044
9437041214700487
10101124202034212
112a248595822735
12b41266a7a3344
134456c82037706
141ad861a6a6d00
15ba5714d6d9c7
hex5bf8d023f424

101124202034212 has 36 divisors (see below), whose sum is σ = 205861421498124. Its totient is φ = 43338640826880.

The previous prime is 101124202034189. The next prime is 101124202034213. The reversal of 101124202034212 is 212430202421101.

It can be written as a sum of positive squares in 2 ways, for example, as 69832529575396 + 31291672458816 = 8356586^2 + 5593896^2 .

It is a super-2 number, since 2×1011242020342122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101124202034213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27526012 + ... + 30982732.

Almost surely, 2101124202034212 is an apocalyptic number.

It is an amenable number.

101124202034212 is an abundant number, since it is smaller than the sum of its proper divisors (104737219463912).

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

101124202034212 is a wasteful number, since it uses less digits than its factorization.

101124202034212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605996 (or 3605987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 101124202034212 its reverse (212430202421101), we get a palindrome (313554404455313).

The spelling of 101124202034212 in words is "one hundred one trillion, one hundred twenty-four billion, two hundred two million, thirty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 149257 298514 597028 1044799 2089598 3456721 4179196 6913442 7313593 13826884 14627186 24197047 29254372 48394094 96788188 169379329 338758658 677517316 515939806297 1031879612594 2063759225188 3611578644079 7223157288158 14446314576316 25281050508553 50562101017106 101124202034212