Search a number
-
+
10120012001121 = 3112744031117579
BaseRepresentation
bin1001001101000011111110…
…1110000110111101100001
31022211110112000222120202210
42103100333232012331201
52311301241033013441
633305022550432333
72063101221462351
oct223207756067541
938743460876683
1010120012001121
113251966a45820
1211753ab6626a9
1358540b985239
1426db4dcbab61
151283a0eb9616
hex9343fb86f61

10120012001121 has 16 divisors (see below), whose sum is σ = 14720084271360. Its totient is φ = 6133312767120.

The previous prime is 10120012001093. The next prime is 10120012001131. The reversal of 10120012001121 is 12110021002101.

It is not a de Polignac number, because 10120012001121 - 225 = 10119978446689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120012001097 and 10120012001106.

It is not an unprimeable number, because it can be changed into a prime (10120012001131) 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, 8496510 + ... + 9614088.

It is an arithmetic number, because the mean of its divisors is an integer number (920005266960).

Almost surely, 210120012001121 is an apocalyptic number.

10120012001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120012001121 is a deficient number, since it is larger than the sum of its proper divisors (4600072270239).

10120012001121 is a wasteful number, since it uses less digits than its factorization.

10120012001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391996.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120012001121 its reverse (12110021002101), we get a palindrome (22230033003222).

The spelling of 10120012001121 in words is "ten trillion, one hundred twenty billion, twelve million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 274403 823209 1117579 3018433 3352737 9055299 12293369 36880107 306667030337 920001091011 3373337333707 10120012001121