Search a number
-
+
102430630040512 = 2659199913570163
BaseRepresentation
bin10111010010100011111101…
…010100010101001111000000
3111102200021100201120000201111
4113102203331110111033000
5101411210412242244022
61001503552024013104
730401240333454064
oct2722437524251700
9442607321500644
10102430630040512
112a70164a32a124
12b5a38aa901194
134520222a96877
141b41951835aa4
15bc96c8273477
hex5d28fd5153c0

102430630040512 has 56 divisors (see below), whose sum is σ = 206809299360000. Its totient is φ = 50322068902656.

The previous prime is 102430630040509. The next prime is 102430630040593. The reversal of 102430630040512 is 215040036034201.

It is a super-2 number, since 2×1024306300405122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763143 + ... + 14333305.

Almost surely, 2102430630040512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102430630040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103404649680000).

102430630040512 is an abundant number, since it is smaller than the sum of its proper divisors (104378669319488).

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

102430630040512 is a wasteful number, since it uses less digits than its factorization.

102430630040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13572233 (or 13572223 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 102430630040512 its reverse (215040036034201), we get a palindrome (317470666074713).

The spelling of 102430630040512 in words is "one hundred two trillion, four hundred thirty billion, six hundred thirty million, forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 1999 3776 3998 7996 15992 31984 63968 117941 127936 235882 471764 943528 1887056 3774112 7548224 13570163 27140326 54280652 108561304 217122608 434245216 800639617 868490432 1601279234 3202558468 6405116936 12810233872 25620467744 27126755837 51240935488 54253511674 108507023348 217014046696 434028093392 868056186784 1600478594383 1736112373568 3200957188766 6401914377532 12803828755064 25607657510128 51215315020256 102430630040512