Search a number
-
+
10265132103120 = 2432523619875127
BaseRepresentation
bin1001010101100000100110…
…0011010111010111010000
31100100100002201001121001100
42111120021203113113100
52321140442304244440
633455423034104400
72106426354133626
oct225301143272720
940310081047040
1010265132103120
1132a8466508314
12119954bb7b100
13595cc823728b
14276b99511516
1512c046468230
hex956098d75d0

10265132103120 has 120 divisors (see below), whose sum is σ = 35972593428096. Its totient is φ = 2618352532224.

The previous prime is 10265132103113. The next prime is 10265132103139. The reversal of 10265132103120 is 2130123156201.

10265132103120 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 513 + 21 + 0 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309921004 + ... + 309954123.

Almost surely, 210265132103120 is an apocalyptic number.

10265132103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10265132103120 is an abundant number, since it is smaller than the sum of its proper divisors (25707461324976).

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

10265132103120 is a wasteful number, since it uses less digits than its factorization.

10265132103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619875169 (or 619875160 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10265132103120 its reverse (2130123156201), we get a palindrome (12395255259321).

The spelling of 10265132103120 in words is "ten trillion, two hundred sixty-five billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 619875127 1239750254 1859625381 2479500508 3099375635 3719250762 4959001016 5578876143 6198751270 7438501524 9298126905 9918002032 11157752286 12397502540 14257127921 14877003048 18596253810 22315504572 24795005080 27894380715 28514255842 29754006096 37192507620 42771383763 44631009144 49590010160 55788761430 57028511684 71285639605 74385015240 85542767526 89262018288 111577522860 114057023368 128314151289 142571279210 148770030480 171085535052 213856918815 223155045720 228114046736 256628302578 285142558420 342171070104 427713837630 446310091440 513256605156 570285116840 641570756445 684342140208 855427675260 1026513210312 1140570233680 1283141512890 1710855350520 2053026420624 2566283025780 3421710701040 5132566051560 10265132103120