Search a number
-
+
3312132010020 = 2232571833122473
BaseRepresentation
bin110000001100101010011…
…100111011000000100100
3102201122012011201021020200
4300030222130323000210
5413231221243310040
611013323351430500
7461202501365151
oct60145234730044
912648164637220
103312132010020
111067738199739
12455ab6385430
131b0442c63962
14b64453bb228
155b25204c630
hex3032a73b024

3312132010020 has 144 divisors (see below), whose sum is σ = 10311058622592. Its totient is φ = 860303485440.

The previous prime is 3312132010007. The next prime is 3312132010039. The reversal of 3312132010020 is 200102312133.

3312132010020 is a `hidden beast` number, since 3 + 312 + 1 + 320 + 10 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3312132009975 and 3312132010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500497 + ... + 2621976.

It is an arithmetic number, because the mean of its divisors is an integer number (71604573768).

Almost surely, 23312132010020 is an apocalyptic number.

3312132010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312132010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155529311296).

3312132010020 is an abundant number, since it is smaller than the sum of its proper divisors (6998926612572).

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

3312132010020 is a wasteful number, since it uses less digits than its factorization.

3312132010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122642 (or 3122637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3312132010020 its reverse (200102312133), we get a palindrome (3512234322153).

The spelling of 3312132010020 in words is "three trillion, three hundred twelve billion, one hundred thirty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 83 90 142 166 180 213 249 284 332 355 415 426 498 639 710 747 830 852 996 1065 1245 1278 1420 1494 1660 2130 2490 2556 2988 3195 3735 4260 4980 5893 6390 7470 11786 12780 14940 17679 23572 29465 35358 53037 58930 70716 88395 106074 117860 176790 212148 265185 353580 530370 1060740 3122473 6244946 9367419 12489892 15612365 18734838 28102257 31224730 37469676 46837095 56204514 62449460 93674190 112409028 140511285 187348380 221695583 259165259 281022570 443391166 518330518 562045140 665086749 777495777 886782332 1036661036 1108477915 1295826295 1330173498 1554991554 1995260247 2216955830 2332487331 2591652590 2660346996 3109983108 3325433745 3887478885 3990520494 4433911660 4664974662 5183305180 6650867490 7774957770 7981040988 9329949324 9976301235 11662436655 13301734980 15549915540 18400733389 19952602470 23324873310 36801466778 39905204940 46649746620 55202200167 73602933556 92003666945 110404400334 165606600501 184007333890 220808800668 276011000835 331213201002 368014667780 552022001670 662426402004 828033002505 1104044003340 1656066005010 3312132010020