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101223132213 = 3719129386131
BaseRepresentation
bin101111001000101011…
…1100110110000110101
3100200021102011220012210
41132101113212300311
53124301110212323
6114300135004033
710212255266430
oct1362127466065
9320242156183
10101223132213
1139a23901475
121774b509619
139712042c08
144c83692817
1529767e4293
hex17915e6c35

101223132213 has 32 divisors (see below), whose sum is σ = 155583332352. Its totient is φ = 57341908800.

The previous prime is 101223132211. The next prime is 101223132223. The reversal of 101223132213 is 312231322101.

It is not a de Polignac number, because 101223132213 - 21 = 101223132211 is a prime.

It is a super-2 number, since 2×1012231322132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101223132213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223132211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132158 + ... + 1218288.

It is an arithmetic number, because the mean of its divisors is an integer number (4861979136).

Almost surely, 2101223132213 is an apocalyptic number.

It is an amenable number.

101223132213 is a deficient number, since it is larger than the sum of its proper divisors (54360200139).

101223132213 is a wasteful number, since it uses less digits than its factorization.

101223132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86625.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101223132213 its reverse (312231322101), we get a palindrome (413454454314).

The spelling of 101223132213 in words is "one hundred one billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 21 191 293 573 879 1337 2051 4011 6153 55963 86131 167889 258393 391741 602917 1175223 1808751 16451021 25236383 49353063 75709149 115157147 176654681 345471441 529964043 4820149153 14460447459 33741044071 101223132213