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201010011200 = 2652413064177
BaseRepresentation
bin1011101100110100100…
…0010101110001000000
3201012211201210120101122
42323031020111301000
511243132030324300
6232202010051412
720344133622035
oct2731510256100
9635751716348
10201010011200
117827aa025a9
1232b59a19b68
1315c5565303b
149a2c2b738c
155366e81c85
hex2ecd215c40

201010011200 has 84 divisors (see below), whose sum is σ = 506674089012. Its totient is φ = 78442905600.

The previous prime is 201010011199. The next prime is 201010011211. The reversal of 201010011200 is 2110010102.

It can be written as a sum of positive squares in 6 ways, for example, as 38742836224 + 162267174976 = 196832^2 + 402824^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466489 + ... + 1597688.

It is an arithmetic number, because the mean of its divisors is an integer number (6031834393).

Almost surely, 2201010011200 is an apocalyptic number.

201010011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010011200 is an abundant number, since it is smaller than the sum of its proper divisors (305664077812).

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

201010011200 is a wasteful number, since it uses less digits than its factorization.

201010011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064240 (or 3064225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201010011200 its reverse (2110010102), we get a palindrome (203120021302).

The spelling of 201010011200 in words is "two hundred one billion, ten million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 160 164 200 205 320 328 400 410 656 800 820 1025 1312 1600 1640 2050 2624 3280 4100 6560 8200 13120 16400 32800 65600 3064177 6128354 12256708 15320885 24513416 30641770 49026832 61283540 76604425 98053664 122567080 125631257 153208850 196107328 245134160 251262514 306417700 490268320 502525028 612835400 628156285 980536640 1005050056 1225670800 1256312570 2010100112 2451341600 2512625140 3140781425 4020200224 4902683200 5025250280 6281562850 8040400448 10050500560 12563125700 20101001120 25126251400 40202002240 50252502800 100505005600 201010011200