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100222310322030 = 235131972335598577
BaseRepresentation
bin10110110010011011010011…
…001101001000111101101110
3111010212011022010102000001110
4112302123103031020331232
5101114020242420301110
6553053254352252450
730052552164535011
oct2662332315107556
9433764263360043
10100222310322030
1129a30052428546
12b2a7908b41126
1343bcc0068a1b0
141aa6addd73378
15b8c02b71ea20
hex5b26d3348f6e

100222310322030 has 128 divisors (see below), whose sum is σ = 261468462423168. Its totient is φ = 24439530995712.

The previous prime is 100222310322011. The next prime is 100222310322067. The reversal of 100222310322030 is 30223013222001.

It is a happy number.

It is a super-2 number, since 2×1002223103220302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222310321988 and 100222310322006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15102102 + ... + 20700678.

It is an arithmetic number, because the mean of its divisors is an integer number (2042722362681).

Almost surely, 2100222310322030 is an apocalyptic number.

100222310322030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222310322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130734231211584).

100222310322030 is an abundant number, since it is smaller than the sum of its proper divisors (161246152101138).

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

100222310322030 is a wasteful number, since it uses less digits than its factorization.

100222310322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599030.

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

Adding to 100222310322030 its reverse (30223013222001), we get a palindrome (130445323544031).

The spelling of 100222310322030 in words is "one hundred trillion, two hundred twenty-two billion, three hundred ten million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 233 390 394 466 591 699 985 1165 1182 1398 1970 2330 2561 2955 3029 3495 5122 5910 6058 6990 7683 9087 12805 15145 15366 18174 25610 30290 38415 45435 45901 76830 90870 91802 137703 229505 275406 459010 596713 688515 1193426 1377030 1790139 2983565 3580278 5598577 5967130 8950695 11197154 16795731 17901390 27992885 33591462 55985770 72781501 83978655 145563002 167957310 218344503 363907505 436689006 727815010 1091722515 1102919669 1304468441 2183445030 2205839338 2608936882 3308759007 3913405323 5514598345 6522342205 6617518014 7826810646 11029196690 13044684410 14337955697 16543795035 16958089733 19567026615 28675911394 33087590070 33916179466 39134053230 43013867091 50874269199 71689778485 84790448665 86027734182 101748538398 143379556970 169580897330 215069335455 254371345995 256980282877 430138670910 508742691990 513960565754 770940848631 1284901414385 1541881697262 2569802828770 3340743677401 3854704243155 6681487354802 7709408486310 10022231032203 16703718387005 20044462064406 33407436774010 50111155161015 100222310322030