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203212421104 = 247111493110479
BaseRepresentation
bin1011110101000001100…
…1110111011111110000
3201102112020000120210211
42331100121313133300
511312134334433404
6233204323233504
720452536036130
oct2752031673760
9642466016724
10203212421104
1179200128780
1233473518894
1316216a19574
149b9a9c0ac0
1554454c7b04
hex2f506777f0

203212421104 has 80 divisors (see below), whose sum is σ = 491209989120. Its totient is φ = 79119924480.

The previous prime is 203212421101. The next prime is 203212421119. The reversal of 203212421104 is 401124212302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212421101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784137 + ... + 1894615.

It is an arithmetic number, because the mean of its divisors is an integer number (6140124864).

Almost surely, 2203212421104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203212421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245604994560).

203212421104 is an abundant number, since it is smaller than the sum of its proper divisors (287997568016).

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

203212421104 is a wasteful number, since it uses less digits than its factorization.

203212421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111998 (or 111992 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 203212421104 its reverse (401124212302), we get a palindrome (604336633406).

The spelling of 203212421104 in words is "two hundred three billion, two hundred twelve million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1493 2986 5972 10451 11944 16423 20902 23888 32846 41804 65692 83608 110479 114961 131384 167216 220958 229922 262768 441916 459844 773353 883832 919688 1215269 1546706 1767664 1839376 2430538 3093412 4861076 6186824 8506883 9722152 12373648 17013766 19444304 34027532 68055064 136110128 164945147 329890294 659780588 1154616029 1319561176 1814396617 2309232058 2639122352 3628793234 4618464116 7257586468 9236928232 12700776319 14515172936 18473856464 25401552638 29030345872 50803105276 101606210552 203212421104