Search a number
-
+
10120111112112 = 2431371648193377
BaseRepresentation
bin1001001101000100010110…
…1000001011111110110000
31022211110202221110221111020
42103101011220023332300
52311301441421041422
633305040451015440
72063103534062601
oct223210550137660
938743687427436
1010120111112112
113251a0798a331
12117541889a580
135854263771b1
1426db5d119da8
151283a9a4595c
hex93445a0bfb0

10120111112112 has 80 divisors (see below), whose sum is σ = 26336329625952. Its totient is φ = 3348508180480.

The previous prime is 10120111112087. The next prime is 10120111112123. The reversal of 10120111112112 is 21121111102101.

It is a junction number, because it is equal to n+sod(n) for n = 10120111112091 and 10120111112100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108332368 + ... + 108425744.

Almost surely, 210120111112112 is an apocalyptic number.

10120111112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120111112112 is an abundant number, since it is smaller than the sum of its proper divisors (16216218513840).

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

10120111112112 is a wasteful number, since it uses less digits than its factorization.

10120111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110006 (or 110000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10120111112112 its reverse (21121111102101), we get a palindrome (31241222214213).

The spelling of 10120111112112 in words is "ten trillion, one hundred twenty billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 16481 32962 49443 65924 93377 98886 131848 186754 197772 263696 280131 373508 395544 560262 747016 791088 1120524 1494032 2241048 2257897 4482096 4515794 6773691 9031588 12792649 13547382 18063176 25585298 27094764 36126352 38377947 51170596 54189528 76755894 102341192 108379056 153511788 204682384 307023576 614047152 1538946337 3077892674 4616839011 6155785348 9233678022 12311570696 18467356044 24623141392 36934712088 73869424176 210835648169 421671296338 632506944507 843342592676 1265013889014 1686685185352 2530027778028 3373370370704 5060055556056 10120111112112