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102022011021 = 37101239313643
BaseRepresentation
bin101111100000011111…
…1000101100010001101
3100202100002102010220210
41133000333011202031
53132420113323041
6114511313433033
710241125533240
oct1370077054215
9322302363823
10102022011021
113a2a3846997
1217932b6b779
13980b6c2678
144d1b809257
1529c19e9016
hex17c0fc588d

102022011021 has 64 divisors (see below), whose sum is σ = 158407925760. Its totient is φ = 57206822400.

The previous prime is 102022010989. The next prime is 102022011023. The reversal of 102022011021 is 120110220201.

It is not a de Polignac number, because 102022011021 - 25 = 102022010989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022010988 and 102022011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022011023) 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 63 ways as a sum of consecutive naturals, for example, 158665326 + ... + 158665968.

It is an arithmetic number, because the mean of its divisors is an integer number (2475123840).

Almost surely, 2102022011021 is an apocalyptic number.

It is an amenable number.

102022011021 is a deficient number, since it is larger than the sum of its proper divisors (56385914739).

102022011021 is a wasteful number, since it uses less digits than its factorization.

102022011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102022011021 its reverse (120110220201), we get a palindrome (222132231222).

The spelling of 102022011021 in words is "one hundred two billion, twenty-two million, eleven thousand, twenty-one".

Divisors: 1 3 7 21 101 239 303 313 643 707 717 939 1673 1929 2121 2191 4501 5019 6573 13503 24139 31613 64943 72417 74807 94839 153677 168973 194829 201259 221291 224421 454601 461031 506919 523649 603777 663873 1075739 1363803 1408813 1570947 3227217 4226439 7555507 15521377 20327159 22666521 46564131 48100901 52888549 60981477 108649639 142290113 144302703 158665647 325948917 336706307 426870339 1010118921 4858191001 14574573003 34007337007 102022011021