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233012011142100 = 223521395587818013
BaseRepresentation
bin110100111110110001010110…
…001001110000101111010100
31010120000201201200200022221110
4310332301112021300233110
5221020132044323021400
62143324123512415020
7100036363566212121
oct6476612611605724
91116021650608843
10233012011142100
11682769257519a3
12221733570a7470
13a002c277941a8
144177bad185748
151be129cccde50
hexd3ec56270bd4

233012011142100 has 72 divisors (see below), whose sum is σ = 679031645061280. Its totient is φ = 61689510852480.

The previous prime is 233012011142081. The next prime is 233012011142171. The reversal of 233012011142100 is 1241110210332.

It is a super-2 number, since 2×2330120111421002 (a number of 30 digits) contains 22 as substring.

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, 2793867307 + ... + 2793950706.

Almost surely, 2233012011142100 is an apocalyptic number.

233012011142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233012011142100 is an abundant number, since it is smaller than the sum of its proper divisors (446019633919180).

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

233012011142100 is a wasteful number, since it uses less digits than its factorization.

233012011142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587818169 (or 5587818162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 233012011142100 its reverse (1241110210332), we get a palindrome (234253121352432).

The spelling of 233012011142100 in words is "two hundred thirty-three trillion, twelve billion, eleven million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 5587818013 11175636026 16763454039 22351272052 27939090065 33526908078 55878180130 67053816156 83817270195 111756360260 139695450325 167634540390 279390900650 335269080780 419086350975 558781801300 776706703807 838172701950 1553413407614 1676345403900 2330120111421 3106826815228 3883533519035 4660240222842 7767067038070 9320480445684 11650600557105 15534134076140 19417667595175 23301201114210 38835335190350 46602402228420 58253002785525 77670670380700 116506005571050 233012011142100