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102213041021 = 72132513531811
BaseRepresentation
bin101111100110001011…
…1110011101101111101
3100202211101212110210222
41133030113303231331
53133313014303041
6114542300111125
710245635341100
oct1371427635575
9322741773728
10102213041021
113a391662623
1217986b354a5
13983c158b80
144d38d34737
1529d368074b
hex17cc5f3b7d

102213041021 has 48 divisors (see below), whose sum is σ = 128992627008. Its totient is φ = 80277120000.

The previous prime is 102213040999. The next prime is 102213041033. The reversal of 102213041021 is 120140312201.

It is a de Polignac number, because none of the positive numbers 2k-102213041021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213041921) 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, 56439206 + ... + 56441016.

It is an arithmetic number, because the mean of its divisors is an integer number (2687346396).

Almost surely, 2102213041021 is an apocalyptic number.

It is an amenable number.

102213041021 is a deficient number, since it is larger than the sum of its proper divisors (26779585987).

102213041021 is a wasteful number, since it uses less digits than its factorization.

102213041021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102213041021 its reverse (120140312201), we get a palindrome (222353353222).

The spelling of 102213041021 in words is "one hundred two billion, two hundred thirteen million, forty-one thousand, twenty-one".

Divisors: 1 7 13 49 91 251 353 637 1757 1811 2471 3263 4589 12299 12677 17297 22841 23543 32123 88603 88739 159887 164801 224861 454561 620221 639283 1151839 1153607 3181927 4341547 4474981 5909293 8062873 8310679 22273489 31324867 41365051 56440111 58174753 160460033 289555357 407223271 1123220231 2085980429 7862541617 14601863003 102213041021