Search a number
-
+
21211011000201 = 31137157307439821
BaseRepresentation
bin1001101001010100100101…
…10001101010011110001001
32210002202022211022101022110
410310222102301222132021
510240010122304001301
6113040112014412533
74316305424464221
oct464522261523611
983082284271273
1021211011000201
1168385a28155a0
122466a04801149
13bab260b77c79
14534892cbb081
1526bb315850d6
hex134a92c6a789

21211011000201 has 128 divisors (see below), whose sum is σ = 32103851028480. Its totient is φ = 12344300467200.

The previous prime is 21211011000167. The next prime is 21211011000211. The reversal of 21211011000201 is 10200011011212.

It is not a de Polignac number, because 21211011000201 - 223 = 21211002611593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21211011000211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25835579371 + ... + 25835580191.

It is an arithmetic number, because the mean of its divisors is an integer number (250811336160).

Almost surely, 221211011000201 is an apocalyptic number.

It is an amenable number.

21211011000201 is a deficient number, since it is larger than the sum of its proper divisors (10892840028279).

21211011000201 is a wasteful number, since it uses less digits than its factorization.

21211011000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211011000201 its reverse (10200011011212), we get a palindrome (31411022011413).

The spelling of 21211011000201 in words is "twenty-one trillion, two hundred eleven billion, eleven million, two hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 37 111 157 307 407 439 471 821 921 1221 1317 1727 2463 3377 4829 5181 5809 9031 10131 11359 14487 16243 17427 27093 30377 34077 48199 48729 63899 68923 91131 124949 128897 134773 144597 178673 191697 206769 252047 334147 360419 374847 386691 404319 530189 536019 756141 758153 1002441 1081257 1417867 1482503 1590567 1783363 2274459 2550151 2772517 3964609 4253601 4447509 4769189 4986601 5350089 7650453 8317551 9325739 11893827 13335503 14307567 14959803 19616993 21159361 27977217 28051661 39571379 40006509 52461079 54852611 56585783 58850979 63478083 84154983 102583129 110648633 118714137 146690533 157383237 164557833 169757349 232752971 307749387 331945899 435285169 440071599 622443613 698258913 782896357 1217134963 1305855507 1464141023 1867330839 2093673971 2348689071 3651404889 4093999421 4392423069 6281021913 8611859927 12281998263 16105551253 17371835381 23030413681 25835579781 45033993631 48316653759 52115506143 69091241043 135101980893 191090189191 573270567573 642757909097 1928273727291 7070337000067 21211011000201