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200101020 = 223573471373
BaseRepresentation
bin10111110110101…
…00110010011100
3111221112011222220
423323110302130
5402211213040
631504505340
74646554620
oct1373246234
9457464886
10200101020
11a2a51949
125701b250
13325c1292
141c80b180
15128792d0
hexbed4c9c

200101020 has 96 divisors (see below), whose sum is σ = 642636288. Its totient is φ = 45572352.

The previous prime is 200101007. The next prime is 200101039. The reversal of 200101020 is 20101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 145054 + ... + 146426.

It is an arithmetic number, because the mean of its divisors is an integer number (6694128).

Almost surely, 2200101020 is an apocalyptic number.

200101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321318144).

200101020 is an abundant number, since it is smaller than the sum of its proper divisors (442535268).

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

200101020 is a wasteful number, since it uses less digits than its factorization.

200101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 200101020 is about 14145.7067691933. The cubic root of 200101020 is about 584.9019924936.

Adding to 200101020 its reverse (20101002), we get a palindrome (220202022).

The spelling of 200101020 in words is "two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 1041 1373 1388 1735 2082 2429 2746 3470 4119 4164 4858 5205 5492 6865 6940 7287 8238 9611 9716 10410 12145 13730 14574 16476 19222 20595 20820 24290 27460 28833 29148 36435 38444 41190 48055 48580 57666 72870 82380 96110 115332 144165 145740 192220 288330 476431 576660 952862 1429293 1905724 2382155 2858586 3335017 4764310 5717172 6670034 7146465 9528620 10005051 13340068 14292930 16675085 20010102 28585860 33350170 40020204 50025255 66700340 100050510 200101020