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100203202013222 = 271119371019163981
BaseRepresentation
bin10110110010001001100000…
…010000101110100000100110
3111010210022222102202100011102
4112302021200100232200212
5101113212124203410342
6553040414315040102
730051304520562620
oct2662114020564046
9433708872670142
10100203202013222
1129a22a372762a0
12b2a4075740032
1343bb17695a0a9
141aa5c0a283c10
15b8b7adddd832
hex5b226042e826

100203202013222 has 128 divisors (see below), whose sum is σ = 204592862776320. Its totient is φ = 35629554240000.

The previous prime is 100203202013197. The next prime is 100203202013227. The reversal of 100203202013222 is 222310202302001.

It is a happy number.

100203202013222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100203202013194 and 100203202013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203202013227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6352472 + ... + 15516452.

It is an arithmetic number, because the mean of its divisors is an integer number (1598381740440).

Almost surely, 2100203202013222 is an apocalyptic number.

100203202013222 is an abundant number, since it is smaller than the sum of its proper divisors (104389660763098).

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

100203202013222 is a wasteful number, since it uses less digits than its factorization.

100203202013222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164158.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100203202013222 its reverse (222310202302001), we get a palindrome (322513404315223).

The spelling of 100203202013222 in words is "one hundred trillion, two hundred three billion, two hundred two million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 37 38 74 77 101 133 154 202 209 259 266 407 418 518 703 707 814 1111 1406 1414 1463 1919 2222 2849 2926 3737 3838 4921 5698 7474 7733 7777 9842 13433 15466 15554 21109 26159 26866 41107 42218 52318 54131 71003 82214 108262 142006 147763 287749 295526 497021 575498 781033 994042 1562066 5467231 9163981 10934462 18327962 64147867 100803791 128295734 174115639 201607582 339067297 348231278 678134594 705626537 925562081 1218809473 1411253074 1851124162 1915272029 2373471079 2437618946 3729740267 3830544058 4746942158 6442278643 6478934567 7459480534 10181182891 12884557286 12957869134 13406904203 17585679539 20362365782 26108181869 26813808406 34245796997 35171359078 45095950501 52216363738 68491593994 70865065073 71268280237 90191901002 123099756773 141730130146 142536560474 193442474929 239720578979 246199513546 376703766967 386884949858 479441157958 496055455511 650670142943 753407533934 992110911022 1301340285886 1354097324503 2636926368769 2708194649006 4554691000601 5273852737538 7157371572373 9109382001202 14314743144746 50101601006611 100203202013222