Search a number
-
+
1030122020300 = 2252337268311393
BaseRepresentation
bin11101111110110000000…
…11101001110111001100
310122110220222022121020112
432333120003221313030
5113334142214122200
62105122001535152
7134265245462132
oct16773003516714
93573828277215
101030122020300
1136796603064a
121477899444b8
13761a8a142a9
1437c02b75752
151bbe0e44535
hexefd80e9dcc

1030122020300 has 72 divisors (see below), whose sum is σ = 2243030405616. Its totient is φ = 410636943360.

The previous prime is 1030122020287. The next prime is 1030122020327. The reversal of 1030122020300 is 30202210301.

It is a happy number.

It is a super-2 number, since 2×10301220203002 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 90411404 + ... + 90422796.

It is an arithmetic number, because the mean of its divisors is an integer number (31153200078).

Almost surely, 21030122020300 is an apocalyptic number.

1030122020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030122020300 is an abundant number, since it is smaller than the sum of its proper divisors (1212908385316).

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

1030122020300 is a wasteful number, since it uses less digits than its factorization.

1030122020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1030122020300 its reverse (30202210301), we get a palindrome (1060324230601).

The spelling of 1030122020300 in words is "one trillion, thirty billion, one hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 2683 3370 5366 6740 8425 10732 11393 13415 16850 22786 26830 33700 45572 53660 56965 67075 113930 134150 227860 268300 284825 569650 904171 1139300 1808342 3616684 3839441 4520855 7678882 9041710 15357764 18083420 19197205 22604275 30567419 38394410 45208550 61134838 76788820 90417100 95986025 122269676 152837095 191972050 305674190 383944100 611348380 764185475 1528370950 3056741900 10301220203 20602440406 41204880812 51506101015 103012202030 206024404060 257530505075 515061010150 1030122020300