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223131021010002 = 2327101154911319223
BaseRepresentation
bin110010101110111110111101…
…001111101110010001010010
31002021001010011111111202201100
4302232332331033232101102
5213221234312334310002
62110320550450045230
764666453464655440
oct6256767517562122
91067033144452640
10223131021010002
116510737538a106
1221038353579816
13976721b65c561
143d15855a9db90
151abe23ae5e11c
hexcaefbd3ee452

223131021010002 has 96 divisors (see below), whose sum is σ = 558345626092800. Its totient is φ = 63079760361600.

The previous prime is 223131021009997. The next prime is 223131021010039. The reversal of 223131021010002 is 200010120131322.

223131021010002 is a `hidden beast` number, since 2 + 231 + 310 + 21 + 0 + 100 + 0 + 2 = 666.

It is a super-3 number, since 3×2231310210100023 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14052963 + ... + 25372185.

It is an arithmetic number, because the mean of its divisors is an integer number (5816100271800).

Almost surely, 2223131021010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223131021010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279172813046400).

223131021010002 is an abundant number, since it is smaller than the sum of its proper divisors (335214605082798).

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

223131021010002 is a wasteful number, since it uses less digits than its factorization.

223131021010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320888 (or 11320885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223131021010002 its reverse (200010120131322), we get a palindrome (423141141141324).

The spelling of 223131021010002 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, twenty-one million, ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1549 1818 2121 3098 4242 4647 6363 9294 10843 12726 13941 21686 27882 32529 65058 97587 156449 195174 312898 469347 938694 1095143 1408041 2190286 2816082 3285429 6570858 9856287 11319223 19712574 22638446 33957669 67915338 79234561 101873007 158469122 203746014 237703683 475407366 713111049 1143241523 1426222098 2286483046 3429724569 6859449138 8002690661 10289173707 16005381322 17533476427 20578347414 24008071983 35066952854 48016143966 52600429281 72024215949 105200858562 122734334989 144048431898 157801287843 245468669978 315602575686 368203004967 736406009934 1104609014901 1770881119127 2209218029802 3541762238254 5312643357381 10625286714762 12396167833889 15937930072143 24792335667778 31875860144286 37188503501667 74377007003334 111565510505001 223131021010002