Search a number
-
+
102123200211220 = 225137214117408333
BaseRepresentation
bin10111001110000101101001…
…000100100110100100010100
3111101120212211102002120020201
4113032011221010212210110
5101341141303223224340
61001110430035510244
730340105050152506
oct2716055104464424
9441525742076221
10102123200211220
112a5a322a19a141
12b5541b1158384
1344ca23a8a8386
141b30b09a49d76
15bc16d369379a
hex5ce169126914

102123200211220 has 48 divisors (see below), whose sum is σ = 216125023676688. Its totient is φ = 40532167562240.

The previous prime is 102123200211211. The next prime is 102123200211317. The reversal of 102123200211220 is 22112002321201.

It can be written as a sum of positive squares in 8 ways, for example, as 13551837163524 + 88571363047696 = 3681282^2 + 9411236^2 .

It is a super-2 number, since 2×1021232002112202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2837827 + ... + 14570506.

It is an arithmetic number, because the mean of its divisors is an integer number (4502604659931).

Almost surely, 2102123200211220 is an apocalyptic number.

102123200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123200211220 is an abundant number, since it is smaller than the sum of its proper divisors (114001823465468).

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

102123200211220 is a wasteful number, since it uses less digits than its factorization.

102123200211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410620 (or 17410618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102123200211220 its reverse (22112002321201), we get a palindrome (124235202532421).

The spelling of 102123200211220 in words is "one hundred two trillion, one hundred twenty-three billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2141 2740 4282 8564 10705 21410 42820 293317 586634 1173268 1466585 2933170 5866340 17408333 34816666 69633332 87041665 174083330 348166660 2384941621 4769883242 9539766484 11924708105 23849416210 37271240953 47698832420 74542481906 149084963812 186356204765 372712409530 745424819060 5106160010561 10212320021122 20424640042244 25530800052805 51061600105610 102123200211220