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102012212001 = 37175310153381
BaseRepresentation
bin101111100000001100…
…1101101001100100001
3100202022101222022012010
41133000121231030201
53132410111241001
6114510323423133
710240646331540
oct1370031551441
9322271868163
10102012212001
113a299263827
121792b824aa9
13980967142b
144d1a3b8157
1529c0c108d6
hex17c066d321

102012212001 has 64 divisors (see below), whose sum is σ = 169360160256. Its totient is φ = 53294592000.

The previous prime is 102012211999. The next prime is 102012212047. The reversal of 102012212001 is 100212210201.

It is not a de Polignac number, because 102012212001 - 21 = 102012211999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102012212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1884331 + ... + 1937711.

It is an arithmetic number, because the mean of its divisors is an integer number (2646252504).

Almost surely, 2102012212001 is an apocalyptic number.

It is an amenable number.

102012212001 is a deficient number, since it is larger than the sum of its proper divisors (67347948255).

102012212001 is a wasteful number, since it uses less digits than its factorization.

102012212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53562.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012212001 its reverse (100212210201), we get a palindrome (202224422202).

The spelling of 102012212001 in words is "one hundred two billion, twelve million, two hundred twelve thousand, one".

Divisors: 1 3 7 17 21 51 53 101 119 159 303 357 371 707 901 1113 1717 2121 2703 5151 5353 6307 12019 16059 18921 36057 37471 53381 91001 112413 160143 273003 373667 637007 907477 1121001 1911021 2722431 2829193 5391481 6352339 8487579 16174443 19057017 19804351 37740367 48096281 59413053 91655177 113221101 144288843 274965531 285748493 336673967 641586239 857245479 1010021901 1924758717 2000239451 4857724381 6000718353 14573173143 34004070667 102012212001