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10032402000 = 243533745191
BaseRepresentation
bin10010101011111101…
…00100111001010000
3221220011201211022110
421111332210321100
5131021243331000
64335301105320
7503420003265
oct112576447120
927804654273
1010032402000
114289036125
121b3b9b8240
13c3b62385a
146b259926c
153dab5d850
hex255fa4e50

10032402000 has 160 divisors (see below), whose sum is σ = 33219373824. Its totient is φ = 2602944000.

The previous prime is 10032401941. The next prime is 10032402007. The reversal of 10032402000 is 20423001.

10032402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032402007) by changing a digit.

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, 199405 + ... + 244595.

Almost surely, 210032402000 is an apocalyptic number.

10032402000 is a gapful number since it is divisible by the number (10) 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 10032402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609686912).

10032402000 is an abundant number, since it is smaller than the sum of its proper divisors (23186971824).

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

10032402000 is a wasteful number, since it uses less digits than its factorization.

10032402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45254 (or 45238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10032402000 its reverse (20423001), we get a palindrome (10052825001).

The spelling of 10032402000 in words is "ten billion, thirty-two million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 45191 55500 74000 90382 111000 135573 180764 222000 225955 271146 361528 451910 542292 677865 723056 903820 1084584 1129775 1355730 1672067 1807640 2169168 2259550 2711460 3344134 3389325 3615280 4519100 5016201 5422920 5648875 6688268 6778650 8360335 9038200 10032402 10845840 11297750 13376536 13557300 16720670 16946625 18076400 20064804 22595500 25081005 26753072 27114600 33441340 33893250 40129608 41801675 45191000 50162010 54229200 66882680 67786500 80259216 83603350 90382000 100324020 125405025 133765360 135573000 167206700 200648040 209008375 250810050 271146000 334413400 401296080 418016750 501620100 627025125 668826800 836033500 1003240200 1254050250 1672067000 2006480400 2508100500 3344134000 5016201000 10032402000