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10122301310232 = 2337316734596223
BaseRepresentation
bin1001001101001100100000…
…1011001000010100011000
31022211200102120201112111010
42103103020023020110120
52311320433113411412
633310042050333520
72063212030336056
oct223231013102430
938750376645433
1010122301310232
113252931224621
12117592a28a2a0
135856b5056207
1426dcc9d651d6
15128486e7833c
hex934c82c8518

10122301310232 has 64 divisors (see below), whose sum is σ = 25806015406080. Its totient is φ = 3307952362752.

The previous prime is 10122301310189. The next prime is 10122301310239. The reversal of 10122301310232 is 23201310322101.

It is a junction number, because it is equal to n+sod(n) for n = 10122301310199 and 10122301310208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122301310239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17005528 + ... + 17590695.

It is an arithmetic number, because the mean of its divisors is an integer number (403218990720).

Almost surely, 210122301310232 is an apocalyptic number.

10122301310232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122301310232 is an abundant number, since it is smaller than the sum of its proper divisors (15683714095848).

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

10122301310232 is a wasteful number, since it uses less digits than its factorization.

10122301310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34596472 (or 34596468 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10122301310232 its reverse (23201310322101), we get a palindrome (33323611632333).

The spelling of 10122301310232 in words is "ten trillion, one hundred twenty-two billion, three hundred one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 73 146 167 219 292 334 438 501 584 668 876 1002 1336 1752 2004 4008 12191 24382 36573 48764 73146 97528 146292 292584 34596223 69192446 103788669 138384892 207577338 276769784 415154676 830309352 2525524279 5051048558 5777569241 7576572837 10102097116 11555138482 15153145674 17332707723 20204194232 23110276964 30306291348 34665415446 46220553928 60612582696 69330830892 138661661784 421762554593 843525109186 1265287663779 1687050218372 2530575327558 3374100436744 5061150655116 10122301310232