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203312002100 = 225215123357787
BaseRepresentation
bin1011110101011001010…
…1101111010000110100
3201102210011101211020212
42331112111233100310
511312340333031400
6233222241444552
720455155334544
oct2752625572064
9642704354225
10203312002100
1179251363419
12334a0940758
131623154442c
149ba9d03324
15544e0e8335
hex2f5656f434

203312002100 has 72 divisors (see below), whose sum is σ = 446022577728. Its totient is φ = 80438112000.

The previous prime is 203312002093. The next prime is 203312002147. The reversal of 203312002100 is 1200213302.

It is a happy number.

It is a congruent number.

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, 3489407 + ... + 3547193.

It is an arithmetic number, because the mean of its divisors is an integer number (6194758024).

Almost surely, 2203312002100 is an apocalyptic number.

203312002100 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 203312002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223011288864).

203312002100 is an abundant number, since it is smaller than the sum of its proper divisors (242710575628).

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

203312002100 is a wasteful number, since it uses less digits than its factorization.

203312002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58185 (or 58178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 203312002100 its reverse (1200213302), we get a palindrome (204512215402).

The spelling of 203312002100 in words is "two hundred three billion, three hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 233 302 466 604 755 932 1165 1510 2330 3020 3775 4660 5825 7550 11650 15100 23300 35183 57787 70366 115574 140732 175915 231148 288935 351830 577870 703660 879575 1155740 1444675 1759150 2889350 3518300 5778700 8725837 13464371 17451674 26928742 34903348 43629185 53857484 67321855 87258370 134643710 174516740 218145925 269287420 336609275 436291850 673218550 872583700 1346437100 2033120021 4066240042 8132480084 10165600105 20331200210 40662400420 50828000525 101656001050 203312002100