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102132000201 = 37111867236813
BaseRepresentation
bin101111100011110001…
…0101010010111001001
3100202121202101011201010
41133013202222113021
53133131243001301
6114530243114133
710243632451350
oct1370742522711
9322552334633
10102132000201
113a34a940440
1217963972949
139828422b1a
144d2c27a997
1529cb4c35d6
hex17c78aa5c9

102132000201 has 32 divisors (see below), whose sum is σ = 169869523968. Its totient is φ = 53026943040.

The previous prime is 102132000193. The next prime is 102132000211. The reversal of 102132000201 is 102000231201.

It is not a de Polignac number, because 102132000201 - 23 = 102132000193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132000211) 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, 312871 + ... + 549683.

It is an arithmetic number, because the mean of its divisors is an integer number (5308422624).

Almost surely, 2102132000201 is an apocalyptic number.

102132000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132000201 is a deficient number, since it is larger than the sum of its proper divisors (67737523767).

102132000201 is a wasteful number, since it uses less digits than its factorization.

102132000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238701.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102132000201 its reverse (102000231201), we get a palindrome (204132231402).

The spelling of 102132000201 in words is "one hundred two billion, one hundred thirty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 231 1867 5601 13069 20537 39207 61611 143759 236813 431277 710439 1657691 2604943 4973073 7814829 18234601 54703803 442129871 1326389613 3094909097 4863428581 9284727291 14590285743 34044000067 102132000201