Search a number
-
+
120311031033032 = 237127121091397029
BaseRepresentation
bin11011010110110000011000…
…010001000110110011001000
3120202222121210121112121020112
4123112300120101012303020
5111232133442421024112
61103514042531213452
734225120335302630
oct3326603021066310
9522877717477215
10120311031033032
1135375692574934
12115b1100a47288
13521938772a158
14219d12923d6c0
15dd9875483a22
hex6d6c18446cc8

120311031033032 has 64 divisors (see below), whose sum is σ = 259860991488000. Its totient is φ = 51151610232576.

The previous prime is 120311031032999. The next prime is 120311031033041. The reversal of 120311031033032 is 230330130113021.

It is a super-2 number, since 2×1203110310330322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120311031032989 and 120311031033007.

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, 85420694 + ... + 86817722.

It is an arithmetic number, because the mean of its divisors is an integer number (4060327992000).

Almost surely, 2120311031033032 is an apocalyptic number.

It is an amenable number.

120311031033032 is an abundant number, since it is smaller than the sum of its proper divisors (139549960454968).

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

120311031033032 is a wasteful number, since it uses less digits than its factorization.

120311031033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409278 (or 1409274 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 120311031033032 its reverse (230330130113021), we get a palindrome (350641161146053).

The spelling of 120311031033032 in words is "one hundred twenty trillion, three hundred eleven billion, thirty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 127 254 508 889 1016 1778 3556 7112 12109 24218 48436 84763 96872 169526 339052 678104 1397029 1537843 2794058 3075686 5588116 6151372 9779203 10764901 11176232 12302744 19558406 21529802 39116812 43059604 78233624 86119208 177422683 354845366 709690732 1241958781 1419381464 2483917562 4967835124 9935670248 16916624161 33833248322 67666496644 118416369127 135332993288 236832738254 473665476508 947330953016 2148411268447 4296822536894 8593645073788 15038878879129 17187290147576 30077757758258 60155515516516 120311031033032