Search a number
-
+
1002000101102 = 2711131094591739
BaseRepresentation
bin11101001010010111101…
…11000010111011101110
310112210100002222002101122
432211023313002323232
5112404044011213402
62044151255340542
7132251332221410
oct16451367027356
93483302862348
101002000101102
11356a44a31510
1214223b981752
1373646779c10
14366d5d2a9b0
151b0e7148ca2
hexe94bdc2eee

1002000101102 has 64 divisors (see below), whose sum is σ = 2036528524800. Its totient is φ = 357053546880.

The previous prime is 1002000101059. The next prime is 1002000101107. The reversal of 1002000101102 is 2011010002001.

It is a super-2 number, since 2×10020001011022 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000101107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077652 + ... + 2514087.

It is an arithmetic number, because the mean of its divisors is an integer number (31820758200).

Almost surely, 21002000101102 is an apocalyptic number.

1002000101102 is an abundant number, since it is smaller than the sum of its proper divisors (1034528423698).

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

1002000101102 is a wasteful number, since it uses less digits than its factorization.

1002000101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591881.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002000101102 its reverse (2011010002001), we get a palindrome (3013010103103).

The spelling of 1002000101102 in words is "one trillion, two billion, one hundred one thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 109 143 154 182 218 286 763 1001 1199 1417 1526 2002 2398 2834 8393 9919 15587 16786 19838 31174 109109 218218 4591739 9183478 32142173 50509129 59692607 64284346 101018258 119385214 353563903 417848249 500499551 656618677 707127806 835696498 1000999102 1313237354 3503496857 4596330739 5505495061 6506494163 7006993714 9192661478 11010990122 13012988326 38538465427 45545459141 71571435793 77076930854 91090918282 143142871586 501000050551 1002000101102