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200302031031102 = 23271113233713199719
BaseRepresentation
bin101101100010110001110011…
…011010000100101100111110
3222021012200112221022011012200
4231202301303122010230332
5202223222024420443402
61550001252134412330
760122226024603510
oct5542616332045476
9867180487264180
10200302031031102
1158905683721350
121a56ba60b010a6
13879c528b0b230
1437669547bbbb0
1518254aebe021c
hexb62c73684b3e

200302031031102 has 768 divisors, whose sum is σ = 629237961031680. Its totient is φ = 44353290009600.

The previous prime is 200302031031083. The next prime is 200302031031107. The reversal of 200302031031102 is 201130130203002.

200302031031102 is a `hidden beast` number, since 20 + 0 + 3 + 0 + 20 + 310 + 311 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302031031107) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2008614799 + ... + 2008714517.

It is an arithmetic number, because the mean of its divisors is an integer number (819320261760).

Almost surely, 2200302031031102 is an apocalyptic number.

200302031031102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200302031031102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314618980515840).

200302031031102 is an abundant number, since it is smaller than the sum of its proper divisors (428935930000578).

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

200302031031102 is a wasteful number, since it uses less digits than its factorization.

200302031031102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99949 (or 99946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200302031031102 its reverse (201130130203002), we get a palindrome (401432161234104).

The spelling of 200302031031102 in words is "two hundred trillion, three hundred two billion, thirty-one million, thirty-one thousand, one hundred two".