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210102414324 = 2231110120637639
BaseRepresentation
bin1100001110101100010…
…1000110101111110100
3202002022101202111122220
43003223011012233310
511420242204224244
6240304131522340
721115351024665
oct3035305065764
9662271674586
10210102414324
1181116376650
1234876a593b0
1316a742b702a
14a251aa336c
1556ea312319
hex30eb146bf4

210102414324 has 96 divisors (see below), whose sum is σ = 540433797120. Its totient is φ = 62998224000.

The previous prime is 210102414293. The next prime is 210102414343. The reversal of 210102414324 is 423414201012.

It is a junction number, because it is equal to n+sod(n) for n = 210102414294 and 210102414303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27500097 + ... + 27507735.

It is an arithmetic number, because the mean of its divisors is an integer number (5629518720).

Almost surely, 2210102414324 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 210102414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270216898560).

210102414324 is an abundant number, since it is smaller than the sum of its proper divisors (330331382796).

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

210102414324 is a wasteful number, since it uses less digits than its factorization.

210102414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 210102414324 its reverse (423414201012), we get a palindrome (633516615336).

It can be divided in two parts, 210102 and 414324, that added together give a palindrome (624426).

The spelling of 210102414324 in words is "two hundred ten billion, one hundred two million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2063 2222 3333 4126 4444 6189 6666 7639 8252 12378 13332 15278 22693 22917 24756 30556 45386 45834 68079 84029 90772 91668 136158 168058 208363 252087 272316 336116 416726 504174 625089 771539 833452 1008348 1250178 1543078 2291993 2314617 2500356 3086156 4583986 4629234 6875979 8486929 9167972 9258468 13751958 15759257 16973858 25460787 27503916 31518514 33947716 47277771 50921574 63037028 94555542 101843148 173351827 189111084 346703654 520055481 693407308 1040110962 1591684957 2080221924 3183369914 4775054871 6366739828 9550109742 17508534527 19100219484 35017069054 52525603581 70034138108 105051207162 210102414324