Search a number
-
+
10033133310120 = 2335176773406009
BaseRepresentation
bin1001001000000000010101…
…0110001101000010101000
31022112011021022101210122110
42102000011112031002220
52303340324111410440
633201054030522320
72053604253004134
oct222000526150250
938464238353573
1010033133310120
113219034210348
1211605a40663a0
1357a17470c17b
1426986b7623c4
15125eb8b95080
hex9200558d0a8

10033133310120 has 128 divisors (see below), whose sum is σ = 32345624246400. Its totient is φ = 2480535822336.

The previous prime is 10033133310107. The next prime is 10033133310191. The reversal of 10033133310120 is 2101333133001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36566325 + ... + 36839684.

It is an arithmetic number, because the mean of its divisors is an integer number (252700189425).

Almost surely, 210033133310120 is an apocalyptic number.

10033133310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033133310120 is an abundant number, since it is smaller than the sum of its proper divisors (22312490936280).

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

10033133310120 is a wasteful number, since it uses less digits than its factorization.

10033133310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73406107 (or 73406103 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10033133310120 its reverse (2101333133001), we get a palindrome (12134466443121).

The spelling of 10033133310120 in words is "ten trillion, thirty-three billion, one hundred thirty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 67 68 85 102 120 134 136 170 201 204 255 268 335 340 402 408 510 536 670 680 804 1005 1020 1139 1340 1608 2010 2040 2278 2680 3417 4020 4556 5695 6834 8040 9112 11390 13668 17085 22780 27336 34170 45560 68340 136680 73406009 146812018 220218027 293624036 367030045 440436054 587248072 734060090 880872108 1101090135 1247902153 1468120180 1761744216 2202180270 2495804306 2936240360 3743706459 4404360540 4918202603 4991608612 6239510765 7487412918 8808721080 9836405206 9983217224 12479021530 14754607809 14974825836 18718532295 19672810412 24591013015 24958043060 29509215618 29949651672 37437064590 39345620824 49182026030 49916086120 59018431236 73773039045 74874129180 83609444251 98364052060 118036862472 147546078090 149748258360 167218888502 196728104120 250828332753 295092156180 334437777004 418047221255 501656665506 590184312360 668875554008 836094442510 1003313331012 1254141663765 1672188885020 2006626662024 2508283327530 3344377770040 5016566655060 10033133310120