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101223422777380 = 22541532329116953
BaseRepresentation
bin10111000000111111101010…
…001010000101100000100100
3111021101212100101010000101111
4113000333222022011200210
5101231421032212334010
6555141222022434404
730215102531154061
oct2700775212054044
9437355311100344
10101223422777380
112a2866812a5622
12b42993b592a04
134463435277a27
141add35003bc68
15ba80c097c58a
hex5c0fea285824

101223422777380 has 48 divisors (see below), whose sum is σ = 221862364570224. Its totient is φ = 38756506081280.

The previous prime is 101223422777363. The next prime is 101223422777383. The reversal of 101223422777380 is 83777224322101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12745356964096 + 88478065813284 = 3570064^2 + 9406278^2 .

It is a super-3 number, since 3×1012234227773803 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101223422777383) 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, 1164515017 + ... + 1164601936.

It is an arithmetic number, because the mean of its divisors is an integer number (4622132595213).

Almost surely, 2101223422777380 is an apocalyptic number.

101223422777380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223422777380 is an abundant number, since it is smaller than the sum of its proper divisors (120638941792844).

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

101223422777380 is a wasteful number, since it uses less digits than its factorization.

101223422777380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329117056 (or 2329117054 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 101223422777380 in words is "one hundred one trillion, two hundred twenty-three billion, four hundred twenty-two million, seven hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 43460 2329116953 4658233906 9316467812 11645584765 23291169530 46582339060 95493795073 123443198509 190987590146 246886397018 381975180292 477468975365 493772794036 617215992545 954937950730 1234431985090 1909875901460 2468863970180 5061171138869 10122342277738 20244684555476 25305855694345 50611711388690 101223422777380