Search a number
-
+
102112211020002 = 23373127033591793
BaseRepresentation
bin10111001101111011011010…
…000100001010100011100010
3111101112211110112222210212120
4113031323122010022203202
5101341001302010120002
61001101411355205110
730336235531445241
oct2715733204124342
9441484415883776
10102112211020002
112a599600074127
12b552044a46796
1344c91a8c96771
141b30386390958
15bc128da3bcbc
hex5cdeda10a8e2

102112211020002 has 32 divisors (see below), whose sum is σ = 204788117580288. Its totient is φ = 33943468836096.

The previous prime is 102112211019971. The next prime is 102112211020007. The reversal of 102112211020002 is 200020112211201.

It is not an unprimeable number, because it can be changed into a prime (102112211020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26633418 + ... + 30225210.

It is an arithmetic number, because the mean of its divisors is an integer number (6399628674384).

Almost surely, 2102112211020002 is an apocalyptic number.

102112211020002 is an abundant number, since it is smaller than the sum of its proper divisors (102675906560286).

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

102112211020002 is a wasteful number, since it uses less digits than its factorization.

102112211020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604874.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112211020002 its reverse (200020112211201), we get a palindrome (302132323231203).

The spelling of 102112211020002 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, twenty thousand, two".

Divisors: 1 2 3 6 373 746 1119 2238 12703 25406 38109 76218 3591793 4738219 7183586 9476438 10775379 14214657 21550758 28429314 1339738789 2679477578 4019216367 8038432734 45626546479 91253092958 136879639437 273759278874 17018701836667 34037403673334 51056105510001 102112211020002