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2010232103000 = 235311721125343
BaseRepresentation
bin11101010000001011001…
…010111010000001011000
321010011202112100112112212
4131100023022322001120
5230413423404244000
64135253214254252
7265143265642112
oct35201312720130
97104675315485
102010232103000
11705597685260
1228571a7b7388
131177443690a4
146d41d7903b2
1537456436c35
hex1d40b2ba058

2010232103000 has 128 divisors (see below), whose sum is σ = 5132488458240. Its totient is φ = 730863280000.

The previous prime is 2010232102993. The next prime is 2010232103021. The reversal of 2010232103000 is 3012320102.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 79308329 + ... + 79333671.

It is an arithmetic number, because the mean of its divisors is an integer number (40097566080).

Almost surely, 22010232103000 is an apocalyptic number.

2010232103000 is a gapful number since it is divisible by the number (20) 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 2010232103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566244229120).

2010232103000 is an abundant number, since it is smaller than the sum of its proper divisors (3122256355240).

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

2010232103000 is a wasteful number, since it uses less digits than its factorization.

2010232103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2010232103000 its reverse (3012320102), we get a palindrome (2013244423102).

The spelling of 2010232103000 in words is "two trillion, ten billion, two hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 7211 11000 14422 25343 28844 36055 50686 57688 72110 79321 101372 126715 144220 158642 180275 202744 253430 278773 288440 317284 360550 396605 506860 557546 633575 634568 721100 793210 901375 1013720 1115092 1267150 1393865 1442200 1586420 1802750 1983025 2230184 2534300 2787730 3167875 3172840 3605500 3966050 5068600 5575460 6335750 6969325 7211000 7932100 9915125 11150920 12671500 13938650 15864200 19830250 25343000 27877300 34846625 39660500 55754600 69693250 79321000 139386500 182748373 278773000 365496746 730993492 913741865 1461986984 1827483730 2010232103 3654967460 4020464206 4568709325 7309934920 8040928412 9137418650 10051160515 16081856824 18274837300 20102321030 22843546625 36549674600 40204642060 45687093250 50255802575 80409284120 91374186500 100511605150 182748373000 201023210300 251279012875 402046420600 502558025750 1005116051500 2010232103000