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213221032101 = 3671117223441
BaseRepresentation
bin1100011010010011110…
…1101100000010100101
3202101100201222201000000
43012210331230002211
511443134041011401
6241541414411513
721255546604050
oct3064475540245
9671321881000
10213221032101
1182476794310
12353a7360b99
13171504302ac
14a469d45a97
15582ded7186
hex31a4f6c0a5

213221032101 has 112 divisors (see below), whose sum is σ = 422015799168. Its totient is φ = 104248166400.

The previous prime is 213221032099. The next prime is 213221032133. The reversal of 213221032101 is 101230122312.

213221032101 is a `hidden beast` number, since 2 + 132 + 210 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 213221032101 - 21 = 213221032099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213221032151) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 842541 + ... + 1065981.

Almost surely, 2213221032101 is an apocalyptic number.

213221032101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213221032101 is a deficient number, since it is larger than the sum of its proper divisors (208794767067).

213221032101 is a wasteful number, since it uses less digits than its factorization.

213221032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223494 (or 223479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213221032101 its reverse (101230122312), we get a palindrome (314451154413).

The spelling of 213221032101 in words is "two hundred thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 153 187 189 231 243 297 357 459 561 567 693 729 891 1071 1309 1377 1683 1701 2079 2673 3213 3927 4131 5049 5103 6237 8019 9639 11781 12393 15147 18711 28917 35343 45441 56133 86751 106029 136323 223441 318087 670323 954261 1564087 2010969 2457851 3798497 4692261 6032907 7373553 11395491 14076783 17204957 18098721 22120659 26589479 34186473 41783467 42230349 51614871 54296163 66361977 79768437 102559419 125350401 126691047 154844613 162888489 199085931 239305311 292484269 307678257 376051203 380073141 464533839 597257793 717915933 877452807 923034771 1128153609 1140219423 1393601517 1791773379 2153747799 2632358421 2769104313 3384460827 4180804551 6461243397 7897075263 10153382481 12542413653 19383730191 23691225789 30460147443 71073677367 213221032101