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102120001110110 = 25171275659835831
BaseRepresentation
bin10111001110000010101010…
…011001000000000001011110
3111101120120120110102101112102
4113032002222121000001132
5101341113230241010420
61001105140400005102
730336632553225224
oct2716025231000136
9441516513371472
10102120001110110
112a5a1938400125
12b553659900792
1344c9b4ab92a39
141b308c4c16b14
15bc15978c1a75
hex5ce0aa64005e

102120001110110 has 64 divisors (see below), whose sum is σ = 196196115824640. Its totient is φ = 38135673192960.

The previous prime is 102120001110077. The next prime is 102120001110139. The reversal of 102120001110110 is 11011100021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120001110091 and 102120001110100.

It is a congruent number.

It is an unprimeable number.

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, 121759895 + ... + 122595725.

It is an arithmetic number, because the mean of its divisors is an integer number (3065564309760).

Almost surely, 2102120001110110 is an apocalyptic number.

102120001110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120001110110 is a deficient number, since it is larger than the sum of its proper divisors (94076114714530).

102120001110110 is a wasteful number, since it uses less digits than its factorization.

102120001110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841641.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102120001110110 its reverse (11011100021201), we get a palindrome (113131101131311).

The spelling of 102120001110110 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 10 17 34 85 127 170 254 635 1270 2159 4318 5659 10795 11318 21590 28295 56590 96203 192406 481015 718693 835831 962030 1437386 1671662 3593465 4179155 7186930 8358310 12217781 14209127 24435562 28418254 61088905 71045635 106150537 122177810 142091270 212301074 530752685 1061505370 1804559129 3609118258 4729967629 9022795645 9459935258 18045591290 23649838145 47299676290 80409449693 160818899386 402047248465 600705888883 804094496930 1201411777766 3003529444415 6007058888830 10212000111011 20424000222022 51060000555055 102120001110110