Search a number
-
+
1023033461060 = 2251327971406773
BaseRepresentation
bin11101110001100011000…
…10111100100101000100
310121210121221221111000102
432320301202330211010
5113230133031223220
62101550341303232
7133624502640512
oct16706142744504
93553557844012
101023033461060
1136495879a126
1214632ba04b18
1375619272140
143772d5654b2
151b928985775
hexee318bc944

1023033461060 has 48 divisors (see below), whose sum is σ = 2314458347376. Its totient is φ = 377600113152.

The previous prime is 1023033461057. The next prime is 1023033461083. The reversal of 1023033461060 is 601643303201.

It can be written as a sum of positive squares in 8 ways, for example, as 219055825156 + 803977635904 = 468034^2 + 896648^2 .

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 15 ways as a sum of consecutive naturals, for example, 23834 + ... + 1430606.

It is an arithmetic number, because the mean of its divisors is an integer number (48217882237).

Almost surely, 21023033461060 is an apocalyptic number.

1023033461060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023033461060 is an abundant number, since it is smaller than the sum of its proper divisors (1291424886316).

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

1023033461060 is a wasteful number, since it uses less digits than its factorization.

1023033461060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409592 (or 1409590 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 1023033461060 its reverse (601643303201), we get a palindrome (1624676764261).

The spelling of 1023033461060 in words is "one trillion, twenty-three billion, thirty-three million, four hundred sixty-one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2797 5594 11188 13985 27970 36361 55940 72722 145444 181805 363610 727220 1406773 2813546 5627092 7033865 14067730 18288049 28135460 36576098 73152196 91440245 182880490 365760980 3934744081 7869488162 15738976324 19673720405 39347440810 51151673053 78694881620 102303346106 204606692212 255758365265 511516730530 1023033461060