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100022311011220 = 22513715418326707
BaseRepresentation
bin10110101111100001000010…
…010100010100001110010100
3111010011001001211102022221121
4112233201002110110032110
5101102231143104324340
6552421340525053324
730032242052461213
oct2657410224241624
9433131054368847
10100022311011220
1129963250a98124
12b274bb16b7244
1343a70a954c930
141a9b169dd107a
15b86c2338494a
hex5af842514394

100022311011220 has 48 divisors (see below), whose sum is σ = 229390279509888. Its totient is φ = 36411155464320.

The previous prime is 100022311011211. The next prime is 100022311011241. The reversal of 100022311011220 is 22110113220001.

It is a super-3 number, since 3×1000223110112203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022311011194 and 100022311011203.

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, 2709144894 + ... + 2709181813.

It is an arithmetic number, because the mean of its divisors is an integer number (4778964156456).

Almost surely, 2100022311011220 is an apocalyptic number.

100022311011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022311011220 is an abundant number, since it is smaller than the sum of its proper divisors (129367968498668).

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

100022311011220 is a wasteful number, since it uses less digits than its factorization.

100022311011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418326800 (or 5418326798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100022311011220 its reverse (22110113220001), we get a palindrome (122132424231221).

The spelling of 100022311011220 in words is "one hundred trillion, twenty-two billion, three hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 9230 18460 5418326707 10836653414 21673306828 27091633535 54183267070 70438247191 108366534140 140876494382 281752988764 352191235955 384701196197 704382471910 769402392394 1408764943820 1538804784788 1923505980985 3847011961970 5001115550561 7694023923940 10002231101122 20004462202244 25005577752805 50011155505610 100022311011220