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2101303132200 = 2332521768670037
BaseRepresentation
bin11110100100111111011…
…011010100000000101000
321102212211102120011112100
4132210333123110000220
5233411432100212300
64245154134413400
7304546151630556
oct36447733240050
97385742504470
102101303132200
11740180923448
1229b2b6201260
131231c903764c
14739bca08bd6
15399d6825700
hex1e93f6d4028

2101303132200 has 144 divisors (see below), whose sum is σ = 7471986834780. Its totient is φ = 527385876480.

The previous prime is 2101303132189. The next prime is 2101303132249. The reversal of 2101303132200 is 22313031012.

2101303132200 is a `hidden beast` number, since 2 + 1 + 0 + 130 + 313 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 388036801476 + 1713266330724 = 622926^2 + 1308918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34304419 + ... + 34365618.

Almost surely, 22101303132200 is an apocalyptic number.

2101303132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101303132200 is an abundant number, since it is smaller than the sum of its proper divisors (5370683702580).

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

2101303132200 is a wasteful number, since it uses less digits than its factorization.

2101303132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68670076 (or 68670064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2101303132200 its reverse (22313031012), we get a palindrome (2123616163212).

The spelling of 2101303132200 in words is "two trillion, one hundred one billion, three hundred three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 68670037 137340074 206010111 274680148 343350185 412020222 549360296 618030333 686700370 824040444 1030050555 1167390629 1236060666 1373400740 1648080888 1716750925 2060101110 2334781258 2472121332 2746801480 3090151665 3433501850 3502171887 4120202220 4669562516 4944242664 5150252775 5836953145 6180303330 6867003700 7004343774 8240404440 9339125032 10300505550 10506515661 11673906290 12360606660 13734007400 14008687548 15450758325 17510859435 20601011100 21013031322 23347812580 24721213320 28017375096 29184765725 30901516650 35021718870 41202022200 42026062644 46695625160 52532578305 58369531450 61803033300 70043437740 84052125288 87554297175 105065156610 116739062900 123606066600 140086875480 175108594350 210130313220 233478125800 262662891525 350217188700 420260626440 525325783050 700434377400 1050651566100 2101303132200