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102020010202201 = 71323413067387631
BaseRepresentation
bin10111001100100101100010…
…011101111101010001011001
3111101020000110220212222021211
4113030211202131331101121
5101332443440102432301
61000551202355503121
730326462646435250
oct2714454235752131
9441200426788254
10102020010202201
112a563497115053
12b5381b2bb7aa1
1344c05a4217840
141b29b1b081797
15bbdb94381051
hex5cc96277d459

102020010202201 has 64 divisors (see below), whose sum is σ = 134262129770496. Its totient is φ = 75301686028800.

The previous prime is 102020010202199. The next prime is 102020010202217. The reversal of 102020010202201 is 102202010020201.

It is a happy number.

It is not a de Polignac number, because 102020010202201 - 21 = 102020010202199 is a prime.

It is a super-2 number, since 2×1020200102022012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102020010202261) 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, 262994656 + ... + 263382286.

It is an arithmetic number, because the mean of its divisors is an integer number (2097845777664).

Almost surely, 2102020010202201 is an apocalyptic number.

It is an amenable number.

102020010202201 is a deficient number, since it is larger than the sum of its proper divisors (32242119568295).

102020010202201 is a wasteful number, since it uses less digits than its factorization.

102020010202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390782.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102020010202201 its reverse (102202010020201), we get a palindrome (204222020222402).

The spelling of 102020010202201 in words is "one hundred two trillion, twenty billion, ten million, two hundred two thousand, two hundred one".

Divisors: 1 7 13 23 41 91 161 287 299 533 943 2093 3067 3731 6601 12259 21469 39871 70541 85813 125747 279097 387631 493787 880229 917033 1634711 2713417 2892181 5039203 6419231 8915513 11442977 15892871 20245267 35274421 37598353 62408591 111250097 115901669 206607323 263188471 365536033 811311683 1188864277 1446251261 2558752231 4751968429 8322049939 15455235601 27343878371 33263779003 48743435357 108186649207 191407148597 341204047499 355470418823 633664659641 1121099013211 2488292931761 4435652617487 7847693092477 14574287171743 102020010202201