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20211101001 = 32721337151631
BaseRepresentation
bin10010110100101011…
…001110110101001001
31221011112202022101100
4102310223032311021
5312343020213001
613141310012013
71313564344500
oct226453166511
957145668340
1020211101001
118631704363
123b007a7009
131ba134a980
14d9a357837
157d4569586
hex4b4aced49

20211101001 has 144 divisors (see below), whose sum is σ = 37869581568. Its totient is φ = 10287648000.

The previous prime is 20211100997. The next prime is 20211101017. The reversal of 20211101001 is 10010111202.

It is a happy number.

It is not a de Polignac number, because 20211101001 - 22 = 20211100997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20211101081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32029956 + ... + 32030586.

Almost surely, 220211101001 is an apocalyptic number.

20211101001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20211101001 is a deficient number, since it is larger than the sum of its proper divisors (17658480567).

20211101001 is a wasteful number, since it uses less digits than its factorization.

20211101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20211101001 its reverse (10010111202), we get a palindrome (30221212203).

The spelling of 20211101001 in words is "twenty billion, two hundred eleven million, one hundred one thousand, one".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 151 259 273 333 441 453 481 631 637 777 819 1057 1359 1443 1813 1893 1911 1963 2331 3171 3367 4329 4417 5439 5587 5679 5733 5889 7399 8203 9513 10101 13251 13741 16317 16761 17667 22197 23347 23569 24609 30303 30919 39109 39753 41223 50283 57421 66591 70041 70707 72631 73827 92757 95281 96187 117327 123669 163429 172263 210123 212121 217893 273763 278271 285843 288561 303511 351981 401947 490287 508417 516789 653679 666967 821289 857529 865683 910533 1144003 1205841 1238653 1470861 1525251 2000901 2124577 2463867 2731599 3432009 3525397 3558919 3617523 3715959 4575753 4668769 6002703 6373731 8670571 10296027 10576191 10676757 11147877 14006307 14872039 19121193 24677779 26011713 31728573 32030271 42018921 44616117 45830161 60693997 74033337 78035139 133848351 137490483 172744453 182081991 222100011 320811127 412471449 518233359 546245973 962433381 1554700077 2245677889 2887300143 6737033667 20211101001