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100210000221200 = 2452367768132989
BaseRepresentation
bin10110110010001111110101…
…011101110101010000010000
3111010210222112012210002100002
4112302033311131311100100
5101113320040024034300
6553043501044145132
730051635136442142
oct2662176535652020
9433728465702302
10100210000221200
1129a259057235a1
12b2a54523981a8
1343bb9bb1cc16c
141aa62930b2c92
15b8ba5ab475d5
hex5b23f5775410

100210000221200 has 60 divisors (see below), whose sum is σ = 240820004868420. Its totient is φ = 40073098222080.

The previous prime is 100210000221167. The next prime is 100210000221251. The reversal of 100210000221200 is 2122000012001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 320609618176 + 99889390603024 = 566224^2 + 9994468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32595695 + ... + 35537294.

It is an arithmetic number, because the mean of its divisors is an integer number (4013666747807).

Almost surely, 2100210000221200 is an apocalyptic number.

100210000221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210000221200 is an abundant number, since it is smaller than the sum of its proper divisors (140610004647220).

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

100210000221200 is a wasteful number, since it uses less digits than its factorization.

100210000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68136684 (or 68136673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100210000221200 its reverse (2122000012001), we get a palindrome (102332000233201).

The spelling of 100210000221200 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3677 7354 14708 18385 29416 36770 58832 73540 91925 147080 183850 294160 367700 735400 1470800 68132989 136265978 272531956 340664945 545063912 681329890 1090127824 1362659780 1703324725 2725319560 3406649450 5450639120 6813298900 13626597800 27253195600 250525000553 501050001106 1002100002212 1252625002765 2004200004424 2505250005530 4008400008848 5010500011060 6263125013825 10021000022120 12526250027650 20042000044240 25052500055300 50105000110600 100210000221200