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100202212101033 = 3371728920612357
BaseRepresentation
bin10110110010001000100101…
…010000100000101110101001
3111010210020102110001120221000
4112302020211100200232221
5101113203112244213113
6553040132153505213
730051241140505350
oct2662104520405651
9433706373046830
10100202212101033
1129a22579512649
12b2a3a3a112209
1343bb049842733
141aa5b54a00997
15b8b752051373
hex5b2225420ba9

100202212101033 has 96 divisors (see below), whose sum is σ = 182246224492800. Its totient is φ = 53284754147328.

The previous prime is 100202212101029. The next prime is 100202212101053. The reversal of 100202212101033 is 330101212202001.

It is not a de Polignac number, because 100202212101033 - 22 = 100202212101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202212100997 and 100202212101015.

It is not an unprimeable number, because it can be changed into a prime (100202212101053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5444910 + ... + 15167447.

It is an arithmetic number, because the mean of its divisors is an integer number (1898398171800).

Almost surely, 2100202212101033 is an apocalyptic number.

It is an amenable number.

100202212101033 is a deficient number, since it is larger than the sum of its proper divisors (82044012391767).

100202212101033 is a wasteful number, since it uses less digits than its factorization.

100202212101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612496 (or 20612473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100202212101033 its reverse (330101212202001), we get a palindrome (430303424303034).

The spelling of 100202212101033 in words is "one hundred trillion, two hundred two billion, two hundred twelve million, one hundred one thousand, thirty-three".

Divisors: 1 3 7 9 17 21 27 51 63 89 119 153 189 267 289 357 459 623 801 867 1071 1513 1869 2023 2403 2601 3213 4539 5607 6069 7803 10591 13617 16821 18207 25721 31773 40851 54621 77163 95319 180047 231489 285957 540141 694467 1620423 4861269 20612357 61837071 144286499 185511213 350410069 432859497 556533639 1051230207 1298578491 1834499773 2452870483 3153690621 3895735473 5503499319 5956971173 7358611449 9461071863 12841498411 16510497957 17870913519 22075834347 31186496141 38524495233 41698798211 49531493871 53612740557 66227503041 93559488423 115573485699 125096394633 160838221671 218305472987 280678465269 346720457097 375289183899 530170434397 654916418961 842035395807 1125867551697 1590511303191 1964749256883 3711193040779 4771533909573 5894247770649 11133579122337 14314601728719 33400737367011 100202212101033