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10341410200 = 23521121014231
BaseRepresentation
bin10011010000110010…
…10110010110011000
3222200201012001212121
421220121112112120
5132134400111300
64430100151024
7514161351652
oct115031262630
928621161777
1010341410200
114427502600
122007398474
13c8a656944
147016356d2
15407d4b81a
hex268656598

10341410200 has 144 divisors (see below), whose sum is σ = 26696260080. Its totient is φ = 3722400000.

The previous prime is 10341410159. The next prime is 10341410221. The reversal of 10341410200 is 201414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2442085 + ... + 2446315.

It is an arithmetic number, because the mean of its divisors is an integer number (185390695).

Almost surely, 210341410200 is an apocalyptic number.

10341410200 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 10341410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348130040).

10341410200 is an abundant number, since it is smaller than the sum of its proper divisors (16354849880).

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

10341410200 is a wasteful number, since it uses less digits than its factorization.

10341410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10341410200 its reverse (201414301), we get a palindrome (10542824501).

The spelling of 10341410200 in words is "ten billion, three hundred forty-one million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4231 4444 4840 5050 5555 6050 8462 8888 10100 11110 12100 12221 16924 20200 21155 22220 24200 24442 27775 33848 42310 44440 46541 48884 55550 61105 84620 93082 97768 105775 111100 122210 169240 186164 211550 222200 232705 244420 305525 372328 423100 427331 465410 488840 511951 611050 846200 854662 930820 1023902 1163525 1222100 1709324 1861640 2047804 2136655 2327050 2444200 2559755 3418648 4095608 4273310 4654100 4700641 5119510 8546620 9308200 9401282 10239020 10683275 12798775 17093240 18802564 20478040 21366550 23503205 25597550 37605128 42733100 47006410 51195100 51707051 85466200 94012820 102390200 103414102 117516025 188025640 206828204 235032050 258535255 413656408 470064100 517070510 940128200 1034141020 1292676275 2068282040 2585352550 5170705100 10341410200