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102100220097 = 33113725731181
BaseRepresentation
bin101111100010110100…
…1011011100011000001
3100202112112120120121020
41133011221123203001
53133100124020342
6114523150020053
710243065360111
oct1370551334301
9322475516536
10102100220097
113a333a04597
12179551a7629
139821976825
144d27d67041
1529c87e70ec
hex17c5a5b8c1

102100220097 has 32 divisors (see below), whose sum is σ = 142106102784. Its totient is φ = 65133772800.

The previous prime is 102100220077. The next prime is 102100220137. The reversal of 102100220097 is 790022001201.

It is not a de Polignac number, because 102100220097 - 210 = 102100219073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100220077) 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, 3258847 + ... + 3290027.

It is an arithmetic number, because the mean of its divisors is an integer number (4440815712).

Almost surely, 2102100220097 is an apocalyptic number.

It is an amenable number.

102100220097 is a deficient number, since it is larger than the sum of its proper divisors (40005882687).

102100220097 is a wasteful number, since it uses less digits than its factorization.

102100220097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31609.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 102100220097 its reverse (790022001201), we get a palindrome (892122221298).

The spelling of 102100220097 in words is "one hundred two billion, one hundred million, two hundred twenty thousand, ninety-seven".

Divisors: 1 3 31 93 137 257 411 771 4247 7967 12741 23901 31181 35209 93543 105627 966611 1091479 2899833 3274437 4271797 8013517 12815391 24040551 132425707 248419027 397277121 745257081 1097851829 3293555487 34033406699 102100220097