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202230310121016 = 23379281544369737
BaseRepresentation
bin101101111110110101101001…
…110011000010111000111000
3222112001000210000121021110120
4231332311221303002320320
5203001320133342333031
61554035153311413240
760411441415460412
oct5576655163027070
9875030700537416
10202230310121016
1159489435a25921
121a821709824220
1388ac30c539c68
1437d1ddbc899b2
15185a71b477a96
hexb7ed69cc2e38

202230310121016 has 128 divisors (see below), whose sum is σ = 513899210419200. Its totient is φ = 66306818672640.

The previous prime is 202230310120991. The next prime is 202230310121017. The reversal of 202230310121016 is 610121013032202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202230310121017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2899864900 + ... + 2899934636.

It is an arithmetic number, because the mean of its divisors is an integer number (4014837581400).

Almost surely, 2202230310121016 is an apocalyptic number.

It is an amenable number.

202230310121016 is an abundant number, since it is smaller than the sum of its proper divisors (311668900298184).

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

202230310121016 is a wasteful number, since it uses less digits than its factorization.

202230310121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75549 (or 75545 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 202230310121016 its reverse (610121013032202), we get a palindrome (812351323153218).

The spelling of 202230310121016 in words is "two hundred two trillion, two hundred thirty billion, three hundred ten million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 281 316 474 562 632 843 948 1124 1686 1896 2248 3372 5443 6744 10886 16329 21772 22199 32658 43544 44398 65316 66597 69737 88796 130632 133194 139474 177592 209211 266388 278948 418422 429997 532776 557896 836844 859994 1289991 1529483 1673688 1719988 2579982 3058966 3439976 4588449 5159964 5509223 6117932 9176898 10319928 11018446 12235864 16527669 18353796 19596097 22036892 33055338 36707592 39192194 44073784 58788291 66110676 78384388 117576582 120829157 132221352 156768776 235153164 241658314 362487471 379578491 470306328 483316628 724974942 759156982 966633256 1138735473 1449949884 1518313964 1548091663 2277470946 2899899768 3036627928 3096183326 4554941892 4644274989 6192366652 9109883784 9288549978 12384733304 18577099956 29986700789 37154199912 59973401578 89960102367 106661555971 119946803156 179920204734 213323111942 239893606312 319984667913 359840409468 426646223884 639969335826 719680818936 853292447768 1279938671652 2559877343304 8426262921709 16852525843418 25278788765127 33705051686836 50557577530254 67410103373672 101115155060508 202230310121016