Search a number
-
+
10000202111200 = 255271785750377
BaseRepresentation
bin1001000110000101101001…
…1111101001100011100000
31022102000021021112120021101
42101201122133221203200
52302320403220024300
633134010205004144
72051330221303630
oct221413237514340
938360237476241
1010000202111200
113206075429174
121156133553654
13577026ca1752
14268025d006c0
151251dca67b6a
hex9185a7e98e0

10000202111200 has 72 divisors (see below), whose sum is σ = 27900563905872. Its totient is φ = 3428640721920.

The previous prime is 10000202111167. The next prime is 10000202111209. The reversal of 10000202111200 is 211120200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000202111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892869589 + ... + 892880788.

It is an arithmetic number, because the mean of its divisors is an integer number (387507832026).

Almost surely, 210000202111200 is an apocalyptic number.

10000202111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000202111200 is an abundant number, since it is smaller than the sum of its proper divisors (17900361794672).

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

10000202111200 is a wasteful number, since it uses less digits than its factorization.

10000202111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785750404 (or 1785750391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000202111200 its reverse (211120200001), we get a palindrome (10211322311201).

The spelling of 10000202111200 in words is "ten trillion, two hundred two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 1785750377 3571500754 7143001508 8928751885 12500252639 14286003016 17857503770 25000505278 28572006032 35715007540 44643759425 50001010556 57144012064 62501263195 71430015080 89287518850 100002021112 125002526390 142860030160 178575037700 200004042224 250005052780 285720060320 312506315975 357150075400 400008084448 500010105560 625012631950 714300150800 1000020211120 1250025263900 1428600301600 2000040422240 2500050527800 5000101055600 10000202111200