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233240142102 = 231183113376793
BaseRepresentation
bin1101100100111000110…
…0100010000100010110
3211022000220110212020120
43121032030202010112
512310133434021402
6255052105412410
722564623332202
oct3311614420426
9738026425216
10233240142102
118aa09a85a20
123925379a106
1318cc0a69206
14b4089a3b02
15610177a3bc
hex364e322116

233240142102 has 64 divisors (see below), whose sum is σ = 519577825536. Its totient is φ = 69209154560.

The previous prime is 233240142077. The next prime is 233240142131. The reversal of 233240142102 is 201241042332.

It is a happy number.

It is a super-2 number, since 2×2332401421022 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430618 + ... + 807410.

It is an arithmetic number, because the mean of its divisors is an integer number (8118403524).

Almost surely, 2233240142102 is an apocalyptic number.

233240142102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233240142102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259788912768).

233240142102 is an abundant number, since it is smaller than the sum of its proper divisors (286337683434).

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

233240142102 is a wasteful number, since it uses less digits than its factorization.

233240142102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377005.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 233240142102 its reverse (201241042332), we get a palindrome (434481184434).

The spelling of 233240142102 in words is "two hundred thirty-three billion, two hundred forty million, one hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 83 113 166 226 249 339 498 678 913 1243 1826 2486 2739 3729 5478 7458 9379 18758 28137 56274 103169 206338 309507 376793 619014 753586 1130379 2260758 4144723 8289446 12434169 24868338 31273819 42577609 62547638 85155218 93821457 127732827 187642914 255465654 344012009 468353699 688024018 936707398 1032036027 1405061097 2064072054 2810122194 3533941547 7067883094 10601824641 21203649282 38873357017 77746714034 116620071051 233240142102