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1002920920001 = 711131979667501
BaseRepresentation
bin11101001100000101011…
…11101100001111000001
310112212201021122112110022
432212002233230033001
5112412440223420001
62044422511543225
7132313213106540
oct16460257541701
93485637575408
101002920920001
11357377793370
1214245822ab15
1373762482680
1436782346157
151b14cdd911b
hexe982bec3c1

1002920920001 has 64 divisors (see below), whose sum is σ = 1435396300800. Its totient is φ = 674762400000.

The previous prime is 1002920919983. The next prime is 1002920920003. The reversal of 1002920920001 is 1000290292001.

It is a happy number.

1002920920001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002920920001 - 210 = 1002920918977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002920920003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168751 + ... + 1836251.

It is an arithmetic number, because the mean of its divisors is an integer number (22428067200).

Almost surely, 21002920920001 is an apocalyptic number.

1002920920001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002920920001 is a deficient number, since it is larger than the sum of its proper divisors (432475380799).

1002920920001 is a wasteful number, since it uses less digits than its factorization.

1002920920001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667630.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1002920920001 in words is "one trillion, two billion, nine hundred twenty million, nine hundred twenty thousand, one".

Divisors: 1 7 11 13 19 77 79 91 133 143 209 247 553 869 1001 1027 1463 1501 1729 2717 6083 7189 10507 11297 16511 19019 19513 79079 115577 136591 214643 667501 1502501 4672507 7342511 8677513 12682519 51397577 52732579 60742591 88777633 95452643 139507709 164872747 369128053 580058369 668168501 685523527 976553963 1001919001 1154109229 1813600217 4060408583 4798664689 7013433007 7540758797 11021109011 12695201519 13024947013 52785311579 77147763077 91174629091 143274417143 1002920920001