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1002120322101 = 323239601101111
BaseRepresentation
bin11101001010100110000…
…01101001110000110101
310112210122111011221121020
432211103001221300311
5112404320300301401
62044211232211353
7132254322123063
oct16452301516065
93483574157536
101002120322101
11356aa6884308
12142274099b59
13736656505c2
1436707ca3033
151b102994d36
hexe953069c35

1002120322101 has 32 divisors (see below), whose sum is σ = 1402431528960. Its totient is φ = 635294352000.

The previous prime is 1002120322079. The next prime is 1002120322103. The reversal of 1002120322101 is 1012230212001.

It is not a de Polignac number, because 1002120322101 - 25 = 1002120322069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120322103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9860536 + ... + 9961646.

It is an arithmetic number, because the mean of its divisors is an integer number (43825985280).

Almost surely, 21002120322101 is an apocalyptic number.

It is an amenable number.

1002120322101 is a deficient number, since it is larger than the sum of its proper divisors (400311206859).

1002120322101 is a wasteful number, since it uses less digits than its factorization.

1002120322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101977.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1002120322101 its reverse (1012230212001), we get a palindrome (2014350534102).

The spelling of 1002120322101 in words is "one trillion, two billion, one hundred twenty million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 23 69 239 601 717 1803 5497 13823 16491 41469 101111 143639 303333 430917 2325553 3303697 6976659 9911091 24165529 60767711 72496587 182303133 555807167 1397657353 1667421501 4192972059 14523482929 43570448787 334040107367 1002120322101