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210001020032 = 2715119515569
BaseRepresentation
bin1100001110010100001…
…0010100010010000000
3202002001022222010211202
43003211002110102000
511420040230120112
6240250110400332
721113010134546
oct3034502242200
9662038863752
10210001020032
1181074112611
1234848b000a8
1316a592a59cb
14a24242bd96
1556e14846c2
hex30e5094480

210001020032 has 64 divisors (see below), whose sum is σ = 421423526400. Its totient is φ = 104232960000.

The previous prime is 210001019999. The next prime is 210001020049. The reversal of 210001020032 is 230020100012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 210001019995 and 210001020022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37706144 + ... + 37711712.

It is an arithmetic number, because the mean of its divisors is an integer number (6584742600).

Almost surely, 2210001020032 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 210001020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210711763200).

210001020032 is an abundant number, since it is smaller than the sum of its proper divisors (211422506368).

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

210001020032 is a wasteful number, since it uses less digits than its factorization.

210001020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 210001020032 its reverse (230020100012), we get a palindrome (440021120044).

The spelling of 210001020032 in words is "two hundred ten billion, one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 1951 2416 3902 4832 5569 7804 9664 11138 15608 19328 22276 31216 44552 62432 89104 124864 178208 249728 294601 356416 589202 712832 840919 1178404 1681838 2356808 3363676 4713616 6727352 9427232 10865119 13454704 18854464 21730238 26909408 37708928 43460476 53818816 86920952 107637632 173841904 347683808 695367616 1390735232 1640632969 3281265938 6562531876 13125063752 26250127504 52500255008 105000510016 210001020032