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211201100010 = 232531163464413
BaseRepresentation
bin1100010010110010010…
…0010000100011101010
3202012010222010112002100
43010230210100203222
511430014440200020
6241005140314230
721154521505155
oct3045444204352
9665128115070
10211201100010
118162a57344a
1234b229a2976
1316bbaac76c4
14a31797cc9c
1557619d8a90
hex312c9108ea

211201100010 has 96 divisors (see below), whose sum is σ = 570315253248. Its totient is φ = 54169015680.

The previous prime is 211201099961. The next prime is 211201100017. The reversal of 211201100010 is 10001102112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211201099965 and 211201100001.

It is not an unprimeable number, because it can be changed into a prime (211201100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222564 + ... + 686976.

It is an arithmetic number, because the mean of its divisors is an integer number (5940783888).

Almost surely, 2211201100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285157626624).

211201100010 is an abundant number, since it is smaller than the sum of its proper divisors (359114153238).

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

211201100010 is a wasteful number, since it uses less digits than its factorization.

211201100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464620 (or 464617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211201100010 its reverse (10001102112), we get a palindrome (221202202122).

The spelling of 211201100010 in words is "two hundred eleven billion, two hundred one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 163 186 279 310 326 465 489 558 815 930 978 1395 1467 1630 2445 2790 2934 4890 5053 7335 10106 14670 15159 25265 30318 45477 50530 75795 90954 151590 227385 454770 464413 928826 1393239 2322065 2786478 4179717 4644130 6966195 8359434 13932390 14396803 20898585 28793606 41797170 43190409 71984015 75699319 86380818 129571227 143968030 151398638 215952045 227097957 259142454 378496595 431904090 454195914 647856135 681293871 756993190 1135489785 1295712270 1362587742 2270979570 2346678889 3406469355 4693357778 6812938710 7040036667 11733394445 14080073334 21120110001 23466788890 35200183335 42240220002 70400366670 105600550005 211201100010