Search a number
-
+
120132011313300 = 223527131436684883
BaseRepresentation
bin11011010100001001101001…
…110111000100100010010100
3120202100111201102100120201110
4123110021221313010202110
5111221220324344011200
61103255514545255020
734206152141632530
oct3324115167044224
9522314642316643
10120132011313300
1135306777607838
121158247b634470
135205527c0a0cc
1421945c56dabc0
15dd4d98d63b50
hex6d4269dc4894

120132011313300 has 144 divisors (see below), whose sum is σ = 400268858153472. Its totient is φ = 27249136636800.

The previous prime is 120132011313283. The next prime is 120132011313427. The reversal of 120132011313300 is 3313110231021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218067342 + ... + 218617541.

It is an arithmetic number, because the mean of its divisors is an integer number (2779644848288).

Almost surely, 2120132011313300 is an apocalyptic number.

120132011313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132011313300 is an abundant number, since it is smaller than the sum of its proper divisors (280136846840172).

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

120132011313300 is a wasteful number, since it uses less digits than its factorization.

120132011313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436685038 (or 436685031 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 120132011313300 its reverse (3313110231021), we get a palindrome (123445121544321).

The spelling of 120132011313300 in words is "one hundred twenty trillion, one hundred thirty-two billion, eleven million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 131 140 150 175 210 262 300 350 393 420 524 525 655 700 786 917 1050 1310 1572 1834 1965 2100 2620 2751 3275 3668 3930 4585 5502 6550 7860 9170 9825 11004 13100 13755 18340 19650 22925 27510 39300 45850 55020 68775 91700 137550 275100 436684883 873369766 1310054649 1746739532 2183424415 2620109298 3056794181 4366848830 5240218596 6113588362 6550273245 8733697660 9170382543 10917122075 12227176724 13100546490 15283970905 18340765086 21834244150 26201092980 30567941810 32751366225 36681530172 43668488300 45851912715 57205719673 61135883620 65502732450 76419854525 91703825430 114411439346 131005464900 152839709050 171617159019 183407650860 228822878692 229259563575 286028598365 305679418100 343234318038 400440037711 458519127150 572057196730 686468636076 800880075422 858085795095 917038254300 1144114393460 1201320113133 1430142991825 1601760150844 1716171590190 2002200188555 2402640226266 2860285983650 3432343180380 4004400377110 4290428975475 4805280452532 5720571967300 6006600565665 8008800754220 8580857950950 10011000942775 12013201131330 17161715901900 20022001885550 24026402262660 30033002828325 40044003771100 60066005656650 120132011313300