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2010129900 = 2235231331653
BaseRepresentation
bin111011111010000…
…0010010111101100
312012002102011211120
41313310002113230
513104043124100
6531244020540
7100545552012
oct16764022754
95162364746
102010129900
11941736389
12481231750
132605b309c
14150d748b2
15bb7140a0
hex77d025ec

2010129900 has 144 divisors (see below), whose sum is σ = 6030947328. Its totient is φ = 516384000.

The previous prime is 2010129899. The next prime is 2010129917. The reversal of 2010129900 is 99210102.

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, 3077974 + ... + 3078626.

Almost surely, 22010129900 is an apocalyptic number.

2010129900 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 2010129900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015473664).

2010129900 is an abundant number, since it is smaller than the sum of its proper divisors (4020817428).

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

2010129900 is a wasteful number, since it uses less digits than its factorization.

2010129900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2010129900 is about 44834.4722284092. The cubic root of 2010129900 is about 1262.0446143780.

The spelling of 2010129900 in words is "two billion, ten million, one hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 331 372 465 620 653 662 775 930 993 1306 1324 1550 1655 1860 1959 1986 2325 2612 3100 3265 3310 3918 3972 4650 4965 6530 6620 7836 8275 9300 9795 9930 10261 13060 16325 16550 19590 19860 20243 20522 24825 30783 32650 33100 39180 40486 41044 48975 49650 51305 60729 61566 65300 80972 97950 99300 101215 102610 121458 123132 153915 195900 202430 205220 216143 242916 256525 303645 307830 404860 432286 506075 513050 607290 615660 648429 769575 864572 1012150 1026100 1080715 1214580 1296858 1518225 1539150 2024300 2161430 2593716 3036450 3078300 3242145 4322860 5403575 6072900 6484290 6700433 10807150 12968580 13400866 16210725 20101299 21614300 26801732 32421450 33502165 40202598 64842900 67004330 80405196 100506495 134008660 167510825 201012990 335021650 402025980 502532475 670043300 1005064950 2010129900