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100222002212202 = 23213428299154753
BaseRepresentation
bin10110110010011011000000…
…110101110010110101101010
3111010212010111122122101211100
4112302123000311302311222
5101114014130031242302
6553053204024342230
730052541433620433
oct2662330065626552
9433763448571740
10100222002212202
1129a2aa04515022
12b2a7841914976
1343bcb818acca0
141aa6ab108c48a
15b8c00e65cd1c
hex5b26c0d72d6a

100222002212202 has 24 divisors (see below), whose sum is σ = 233851338495684. Its totient is φ = 30837539142144.

The previous prime is 100222002212201. The next prime is 100222002212239. The reversal of 100222002212202 is 202212200222001.

100222002212202 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 220 + 0 + 221 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99453169609641 + 768832602561 = 9972621^2 + 876831^2 .

It is a super-5 number, since 5×1002220022122025 (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100222002212201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214149577143 + ... + 214149577610.

Almost surely, 2100222002212202 is an apocalyptic number.

100222002212202 is an abundant number, since it is smaller than the sum of its proper divisors (133629336283482).

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

100222002212202 is a wasteful number, since it uses less digits than its factorization.

100222002212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428299154774 (or 428299154771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222002212202 its reverse (202212200222001), we get a palindrome (302434202434203).

The spelling of 100222002212202 in words is "one hundred trillion, two hundred twenty-two billion, two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 428299154753 856598309506 1284897464259 2569794928518 3854692392777 5567889011789 7709384785554 11135778023578 16703667035367 33407334070734 50111001106101 100222002212202