Search a number
-
+
102010000120022 = 219311133583213881
BaseRepresentation
bin10111001100011100001101…
…110100100001100011010110
3111101012001122022011010000102
4113030130031310201203112
5101332312440012320042
61000542425213014102
730325656620232221
oct2714341564414326
9441161568133012
10102010000120022
112a55a21a744165
12b53627a784332
1344bc66a40a2a7
141b2944b8565b8
15bbd7aa680b32
hex5cc70dd218d6

102010000120022 has 64 divisors (see below), whose sum is σ = 167783139901440. Its totient is φ = 46334826316800.

The previous prime is 102010000120013. The next prime is 102010000120031. The reversal of 102010000120022 is 220021000010201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102010000120013) and next prime (102010000120031).

It is a junction number, because it is equal to n+sod(n) for n = 102010000119985 and 102010000120012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 476840522 + ... + 477054402.

It is an arithmetic number, because the mean of its divisors is an integer number (2621611560960).

Almost surely, 2102010000120022 is an apocalyptic number.

102010000120022 is a deficient number, since it is larger than the sum of its proper divisors (65773139781418).

102010000120022 is a wasteful number, since it uses less digits than its factorization.

102010000120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217629.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102010000120022 its reverse (220021000010201), we get a palindrome (322031000130223).

The spelling of 102010000120022 in words is "one hundred two trillion, ten billion, one hundred twenty thousand, twenty-two".

Divisors: 1 2 19 31 38 62 113 226 589 1178 2147 3503 3583 4294 7006 7166 66557 68077 111073 133114 136154 213881 222146 404879 427762 809758 2110387 4063739 4220774 6630311 7692701 8127478 12551249 13260622 15385402 24168553 25102498 48337106 125975909 238473731 251951818 459202507 476947462 749225143 766335623 918405014 1498450286 1532671246 14235277717 14560376837 23756404313 28470555434 29120753674 47512808626 86595925399 173191850798 451371681947 902743363894 1645322582581 2684473687369 3290645165162 5368947374738 51005000060011 102010000120022