Search a number
-
+
102000222220001 = 72953127391119087
BaseRepresentation
bin10111001100010011000111…
…000000110010111011100001
3111101011010101212022022210012
4113030103013000302323201
5101332132423342020001
61000534131042414305
730325162410401120
oct2714230700627341
9441133355268705
10102000222220001
112a556062337156
12b5343b0061395
1344bb76c744331
141b28ba0dc9ab7
15bbd3d70452bb
hex5cc4c7032ee1

102000222220001 has 64 divisors (see below), whose sum is σ = 123872312033280. Its totient is φ = 82143810927360.

The previous prime is 102000222219979. The next prime is 102000222220027. The reversal of 102000222220001 is 100022222000201.

It is a de Polignac number, because none of the positive numbers 2k-102000222220001 is a prime.

It is a super-5 number, since 5×1020002222200015 (a number of 71 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000222220301) 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, 5343953480 + ... + 5343972566.

It is an arithmetic number, because the mean of its divisors is an integer number (1935504875520).

Almost surely, 2102000222220001 is an apocalyptic number.

It is an amenable number.

102000222220001 is a deficient number, since it is larger than the sum of its proper divisors (21872089813279).

102000222220001 is a wasteful number, since it uses less digits than its factorization.

102000222220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102000222220001 its reverse (100022222000201), we get a palindrome (202022444220202).

The spelling of 102000222220001 in words is "one hundred two trillion, two hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 7 29 53 127 203 371 889 1537 3683 3911 6731 10759 19087 25781 27377 47117 113419 133609 195199 207283 496697 553523 793933 1011611 1366393 1450981 2424049 3476879 3874661 6011207 7081277 14404213 16968343 26324941 29336719 42078449 70297421 74649257 100829491 128474597 184274587 205357033 492081947 522544799 763423289 899322179 2164828453 3725763313 3956410621 5343963023 9480455639 15153799171 26080343191 27694874347 66363189473 114735908009 274933213531 502464148867 803151356063 1924532494717 3517249042069 14571460317143 102000222220001