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1010104032200 = 235210764817283
BaseRepresentation
bin11101011001011101110…
…01000101101111001000
310120120020212221102221212
432230232321011233020
5113022143113012300
62052011350552252
7132656214415604
oct16545671055710
93516225842855
101010104032200
1135a42343592a
12143921968688
13743386abc13
1436c6432a504
151b41d823935
hexeb2ee45bc8

1010104032200 has 96 divisors (see below), whose sum is σ = 2371131675360. Its totient is φ = 400148812800.

The previous prime is 1010104032187. The next prime is 1010104032247. The reversal of 1010104032200 is 22304010101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138689759 + ... + 138697041.

It is an arithmetic number, because the mean of its divisors is an integer number (24699288285).

Almost surely, 21010104032200 is an apocalyptic number.

1010104032200 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 1010104032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185565837680).

1010104032200 is an abundant number, since it is smaller than the sum of its proper divisors (1361027643160).

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

1010104032200 is a wasteful number, since it uses less digits than its factorization.

1010104032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1010104032200 its reverse (22304010101), we get a palindrome (1032408042301).

The spelling of 1010104032200 in words is "one trillion, ten billion, one hundred four million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 6481 7283 10700 12962 14566 21400 25924 29132 32405 36415 51848 58264 64810 72830 129620 145660 162025 182075 259240 291320 324050 364150 648100 693467 728300 779281 1296200 1386934 1456600 1558562 2773868 3117124 3467335 3896405 5547736 6234248 6934670 7792810 13869340 15585620 17336675 19482025 27738680 31171240 34673350 38964050 47201123 69346700 77928100 94402246 138693400 155856200 188804492 236005615 377608984 472011230 944022460 1180028075 1888044920 2360056150 4720112300 5050520161 9440224600 10101040322 20202080644 25252600805 40404161288 50505201610 101010403220 126263004025 202020806440 252526008050 505052016100 1010104032200