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10045121352 = 2337277215857
BaseRepresentation
bin10010101101011110…
…00110001101001000
3221221001200000222120
421112233012031020
5131033022340402
64340433451240
7503633060040
oct112657061510
927831600876
1010045121352
114295233392
121b44110b20
13c411580b6
146b414a720
153dbd223bc
hex256bc6348

10045121352 has 64 divisors (see below), whose sum is σ = 28804091520. Its totient is φ = 2859660288.

The previous prime is 10045121351. The next prime is 10045121377. The reversal of 10045121352 is 25312154001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10045121351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61393 + ... + 154464.

It is an arithmetic number, because the mean of its divisors is an integer number (450063930).

Almost surely, 210045121352 is an apocalyptic number.

10045121352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10045121352 is an abundant number, since it is smaller than the sum of its proper divisors (18758970168).

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

10045121352 is a wasteful number, since it uses less digits than its factorization.

10045121352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216150 (or 216146 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10045121352 its reverse (25312154001), we get a palindrome (35357275353).

The spelling of 10045121352 in words is "ten billion, forty-five million, one hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 3324 3878 5817 6648 7756 11634 15512 23268 46536 215857 431714 647571 863428 1295142 1510999 1726856 2590284 3021998 4532997 5180568 6043996 9065994 12087992 18131988 36263976 59792389 119584778 179377167 239169556 358754334 418546723 478339112 717508668 837093446 1255640169 1435017336 1674186892 2511280338 3348373784 5022560676 10045121352