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102002212202112 = 27321723112253763
BaseRepresentation
bin10111001100010100111101…
…100111111110011010000000
3111101011022112112210220001100
4113030110331213332122000
5101332201012310431422
61000535100330534400
730325262623100205
oct2714247547763200
9441138475726040
10102002212202112
112a556993661172
12b534866597400
1344bb9c8ac1941
141b28d0d3d7cac
15bbd4a1ac97ac
hex5cc53d9fe680

102002212202112 has 192 divisors, whose sum is σ = 310922610298560. Its totient is φ = 31986832711680.

The previous prime is 102002212202101. The next prime is 102002212202119. The reversal of 102002212202112 is 211202212200201.

It is a happy number.

102002212202112 is a `hidden beast` number, since 1 + 0 + 200 + 221 + 220 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102002212202119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44131743 + ... + 46385505.

It is an arithmetic number, because the mean of its divisors is an integer number (1619388595305).

Almost surely, 2102002212202112 is an apocalyptic number.

102002212202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155461305149280).

102002212202112 is an abundant number, since it is smaller than the sum of its proper divisors (208920398096448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002212202112 is a wasteful number, since it uses less digits than its factorization.

102002212202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256111 (or 2256096 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102002212202112 its reverse (211202212200201), we get a palindrome (313204424402313).

The spelling of 102002212202112 in words is "one hundred two trillion, two billion, two hundred twelve million, two hundred two thousand, one hundred twelve".