Search a number
-
+
100220021010220 = 22573213281321847
BaseRepresentation
bin10110110010011001001010…
…110000000110111100101100
3111010211221101120122220122011
4112302121022300012330230
5101114001100334311340
6553052235252331004
730052441355650366
oct2662311260067454
9433757346586564
10100220021010220
1129a2a088147711
12b2a738a313a64
1343bc9272b7c17
141aa6963cc7d36
15b8be457600ea
hex5b264ac06f2c

100220021010220 has 48 divisors (see below), whose sum is σ = 213346749002688. Its totient is φ = 39538549370880.

The previous prime is 100220021010211. The next prime is 100220021010229. The reversal of 100220021010220 is 22010120022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100220021010211) and next prime (100220021010229).

It is a super-2 number, since 2×1002200210102202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100220021010220.

It is not an unprimeable number, because it can be changed into a prime (100220021010229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311229337 + ... + 311551183.

It is an arithmetic number, because the mean of its divisors is an integer number (4444723937556).

Almost surely, 2100220021010220 is an apocalyptic number.

100220021010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220021010220 is an abundant number, since it is smaller than the sum of its proper divisors (113126727992468).

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

100220021010220 is a wasteful number, since it uses less digits than its factorization.

100220021010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535210 (or 535208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220021010220 its reverse (22010120022001), we get a palindrome (122230141032221).

The spelling of 100220021010220 in words is "one hundred trillion, two hundred twenty billion, twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 213281 321847 426562 643694 853124 1066405 1287388 1609235 2132810 3218470 4265620 6436940 15569513 23494831 31139026 46989662 62278052 77847565 93979324 117474155 155695130 234948310 311390260 469896620 68643850007 137287700014 274575400028 343219250035 686438500070 1372877000140 5011001050511 10022002101022 20044004202044 25055005252555 50110010505110 100220021010220