Search a number
-
+
101110020001011 = 3372431777321099
BaseRepresentation
bin10110111111010110000010…
…110100110100110011110011
3111021000000122010210002101000
4112333112002310310303303
5101223041310110013021
6555013145115413043
730203646360363600
oct2677260264646363
9437000563702330
10101110020001011
112a2425783a323a
12b40b971154183
134455831ac23a8
141ad7a72d676a7
15ba5184c7eb26
hex5bf582d34cf3

101110020001011 has 48 divisors (see below), whose sum is σ = 178300852752000. Its totient is φ = 56433499503696.

The previous prime is 101110020000943. The next prime is 101110020001043. The reversal of 101110020001011 is 110100020011101.

It is not a de Polignac number, because 101110020001011 - 27 = 101110020000883 is a prime.

It is a super-2 number, since 2×1011100200010112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110020000984 and 101110020001002.

It is not an unprimeable number, because it can be changed into a prime (101110020001061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888603661 + ... + 888717438.

It is an arithmetic number, because the mean of its divisors is an integer number (3714601099000).

Almost surely, 2101110020001011 is an apocalyptic number.

101110020001011 is a deficient number, since it is larger than the sum of its proper divisors (77190832750989).

101110020001011 is a wasteful number, since it uses less digits than its factorization.

101110020001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777321165 (or 1777321152 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110020001011 its reverse (110100020011101), we get a palindrome (211210040012112).

The spelling of 101110020001011 in words is "one hundred one trillion, one hundred ten billion, twenty million, one thousand, eleven".

Divisors: 1 3 7 9 21 27 43 49 63 129 147 189 301 387 441 903 1161 1323 2107 2709 6321 8127 18963 56889 1777321099 5331963297 12441247693 15995889891 37323743079 47987669673 76424807257 87088733851 111971229237 229274421771 261266201553 335913687711 534973650799 687823265313 783798604659 1604920952397 2063469795939 2351395813977 3744815555593 4814762857191 11234446666779 14444288571573 33703340000337 101110020001011