Search a number
-
+
201001211001010 = 257101113990125411
BaseRepresentation
bin101101101100111100111101…
…110001111111100010110010
3222100200112020222202201010201
4231230330331301333202302
5202321200440004013020
61551254403115545414
760223600246360660
oct5554747561774262
9870615228681121
10201001211001010
1159055153579222
121a66346aa5b26a
138820443401264
14378c720c21c30
151838781cb5a0a
hexb6cf3dc7f8b2

201001211001010 has 128 divisors (see below), whose sum is σ = 421336694573568. Its totient is φ = 67619059200000.

The previous prime is 201001211001007. The next prime is 201001211001037. The reversal of 201001211001010 is 10100112100102.

It is a super-3 number, since 3×2010012110010103 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7909995205 + ... + 7910020615.

It is an arithmetic number, because the mean of its divisors is an integer number (3291692926356).

Almost surely, 2201001211001010 is an apocalyptic number.

201001211001010 is an abundant number, since it is smaller than the sum of its proper divisors (220335483572558).

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

201001211001010 is a wasteful number, since it uses less digits than its factorization.

201001211001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35540.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201001211001010 its reverse (10100112100102), we get a palindrome (211101323101112).

The spelling of 201001211001010 in words is "two hundred one trillion, one billion, two hundred eleven million, one thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 101 113 202 226 505 565 707 791 1010 1130 1414 1582 3535 3955 7070 7910 9901 11413 19802 22826 25411 49505 50822 57065 69307 79891 99010 114130 127055 138614 159782 177877 254110 346535 355754 399455 693070 798910 889385 1000001 1118813 1778770 2000002 2237626 2566511 2871443 5000005 5133022 5594065 5742886 7000007 7831691 10000010 11188130 12832555 14000014 14357215 15663382 17965577 20100101 25665110 28714430 35000035 35931154 39158455 40200202 70000070 78316910 89827885 100500505 113000113 179655770 201001010 226000226 251594311 290015743 503188622 565000565 580031486 791000791 1130001130 1257971555 1450078715 1582001582 1761160177 2030110201 2515943110 2900157430 3522320354 3955003955 4060220402 7910007910 8805800885 10150551005 17611601770 20301102010 25411025411 28430157143 50822050822 56860314286 127055127055 142150785715 177877177877 199011100001 254110254110 284301571430 355754355754 398022200002 889385889385 995055500005 1778771778770 1990111000010 2871445871443 5742891742886 14357229357215 20100121100101 28714458714430 40200242200202 100500605500505 201001211001010