Search a number
-
+
102121000120122 = 23193365924101501
BaseRepresentation
bin10111001110000011100101…
…111011111010111100111010
3111101120200011002020100122020
4113032003211323322330322
5101341122302012320442
61001105423444135310
730336666403533654
oct2716034573727472
9441520132210566
10102121000120122
112a5a2300308135
12b553898397536
1344c9c79b44419
141b3097b7876d4
15bc16054599ec
hex5ce0e5efaf3a

102121000120122 has 32 divisors (see below), whose sum is σ = 205356365760960. Its totient is φ = 33854702208000.

The previous prime is 102121000120121. The next prime is 102121000120123. The reversal of 102121000120122 is 221021000121201.

It is an interprime number because it is at equal distance from previous prime (102121000120121) and next prime (102121000120123).

It is not an unprimeable number, because it can be changed into a prime (102121000120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7813629 + ... + 16287872.

It is an arithmetic number, because the mean of its divisors is an integer number (6417386430030).

Almost surely, 2102121000120122 is an apocalyptic number.

102121000120122 is an abundant number, since it is smaller than the sum of its proper divisors (103235365640838).

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

102121000120122 is a wasteful number, since it uses less digits than its factorization.

102121000120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105358.

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

Adding to 102121000120122 its reverse (221021000121201), we get a palindrome (323142000241323).

The spelling of 102121000120122 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 193 386 579 1158 3659 7318 10977 21954 706187 1412374 2118561 4237122 24101501 48203002 72304503 144609006 4651589693 9303179386 13954769079 27909538158 88187392159 176374784318 264562176477 529124352954 17020166686687 34040333373374 51060500060061 102121000120122