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100021303202223 = 31317400133770317
BaseRepresentation
bin10110101111100000000110…
…001111110101000110101111
3111010010221110121001022220110
4112233200012033311012233
5101102222112104432343
6552421052524151103
730032205064314444
oct2657400617650657
9433127417038813
10100021303202223
1129962884120327
12b274970098493
1343a6c7880a250
141a9b0b220d9cb
15b86bb4b5e833
hex5af8063f51af

100021303202223 has 32 divisors (see below), whose sum is σ = 152072428487616. Its totient is φ = 57929427376128.

The previous prime is 100021303202207. The next prime is 100021303202287. The reversal of 100021303202223 is 322202303120001.

It is a happy number.

It is not a de Polignac number, because 100021303202223 - 24 = 100021303202207 is a prime.

It is a super-2 number, since 2×1000213032022232 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100021303202223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021303202923) 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, 24643461 + ... + 28413777.

It is an arithmetic number, because the mean of its divisors is an integer number (4752263390238).

Almost surely, 2100021303202223 is an apocalyptic number.

100021303202223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100021303202223 is a deficient number, since it is larger than the sum of its proper divisors (52051125285393).

100021303202223 is a wasteful number, since it uses less digits than its factorization.

100021303202223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810363.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100021303202223 its reverse (322202303120001), we get a palindrome (422223606322224).

The spelling of 100021303202223 in words is "one hundred trillion, twenty-one billion, three hundred three million, two hundred two thousand, two hundred twenty-three".

Divisors: 1 3 13 17 39 51 221 663 40013 120039 520169 680221 1560507 2040663 3770317 8842873 11310951 26528619 49014121 64095389 147042363 192286167 833240057 2499720171 150861694121 452585082363 1961202023573 2564648800057 5883606070719 7693946400171 33340434400741 100021303202223