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100212100222038 = 2374019619618581
BaseRepresentation
bin10110110010010001110010…
…101000101100110001010110
3111010211011221120022011220220
4112302101302220230301112
5101113333340124101123
6553044445302335210
730052041156241440
oct2662216250546126
9433734846264826
10100212100222038
1129a26793062282
12b2a593972a506
1343bbc642ba4cc
141aa6411d5d490
15b8bb301aece3
hex5b2472a2cc56

100212100222038 has 64 divisors (see below), whose sum is σ = 229651685153280. Its totient is φ = 28557611712000.

The previous prime is 100212100222037. The next prime is 100212100222219. The reversal of 100212100222038 is 830222001212001.

It is a super-4 number, since 4×1002121002220384 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100212100221999 and 100212100222017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100222033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161693908 + ... + 162312488.

It is an arithmetic number, because the mean of its divisors is an integer number (3588307580520).

Almost surely, 2100212100222038 is an apocalyptic number.

100212100222038 is an abundant number, since it is smaller than the sum of its proper divisors (129439584931242).

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

100212100222038 is a wasteful number, since it uses less digits than its factorization.

100212100222038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628613.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100212100222038 its reverse (830222001212001), we get a palindrome (930434101434039).

The spelling of 100212100222038 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred twenty-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 401 802 1203 2406 2807 5614 8421 9619 16842 19238 28857 57714 67333 134666 201999 403998 618581 1237162 1855743 3711486 3857219 4330067 7714438 8660134 11571657 12990201 23143314 25980402 27000533 54001066 81001599 162003198 248050981 496101962 744152943 1488305886 1736356867 3472713734 5209070601 5950130639 10418141202 11900261278 17850391917 35700783834 41650914473 83301828946 124952743419 249905486838 2386002386239 4772004772478 7158007158717 14316014317434 16702016703673 33404033407346 50106050111019 100212100222038