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1023212002200 = 233521705353337
BaseRepresentation
bin11101110001111000011…
…00000001101110011000
310121211002101220022102020
432320330030001232120
5113231014233032300
62102020200134440
7133632101341563
oct16707414015630
93554071808366
101023212002200
11364a3a555793
1214637b767420
1375647254c9b
143774915d4da
151b9394a18a0
hexee3c301b98

1023212002200 has 48 divisors (see below), whose sum is σ = 3171957208680. Its totient is φ = 272856533760.

The previous prime is 1023212002129. The next prime is 1023212002229. The reversal of 1023212002200 is 22002123201.

It is a happy number.

It is a super-2 number, since 2×10232120022002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1023212002200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852676069 + ... + 852677268.

Almost surely, 21023212002200 is an apocalyptic number.

1023212002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023212002200 is an abundant number, since it is smaller than the sum of its proper divisors (2148745206480).

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

1023212002200 is a wasteful number, since it uses less digits than its factorization.

1023212002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705353356 (or 1705353347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1023212002200 its reverse (22002123201), we get a palindrome (1045214125401).

The spelling of 1023212002200 in words is "one trillion, twenty-three billion, two hundred twelve million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1705353337 3410706674 5116060011 6821413348 8526766685 10232120022 13642826696 17053533370 20464240044 25580300055 34107066740 40928480088 42633833425 51160600110 68214133480 85267666850 102321200220 127901500275 170535333700 204642400440 255803000550 341070667400 511606001100 1023212002200