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200312100120 = 2335116110124631
BaseRepresentation
bin1011101010001110001…
…0000001010100011000
3201011001002120000101010
42322203202001110120
511240214344200440
6232004435253520
720320630520616
oct2724342012430
9634032500333
10200312100120
1177a51a5a690
12329a414a2a0
1315b73b956c2
1499a37246b6
155325a73580
hex2ea3881518

200312100120 has 256 divisors, whose sum is σ = 672938357760. Its totient is φ = 47289600000.

The previous prime is 200312100073. The next prime is 200312100133. The reversal of 200312100120 is 21001213002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200312100096 and 200312100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8120205 + ... + 8144835.

It is an arithmetic number, because the mean of its divisors is an integer number (2628665460).

Almost surely, 2200312100120 is an apocalyptic number.

200312100120 is a gapful number since it is divisible by the number (20) 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 200312100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336469178880).

200312100120 is an abundant number, since it is smaller than the sum of its proper divisors (472626257640).

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

200312100120 is a wasteful number, since it uses less digits than its factorization.

200312100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24818 (or 24814 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200312100120 its reverse (21001213002), we get a palindrome (221313313122).

The spelling of 200312100120 in words is "two hundred billion, three hundred twelve million, one hundred thousand, one hundred twenty".