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101210222106 = 23277114717691
BaseRepresentation
bin101111001000010011…
…0010110111000011010
3100200020111212222212200
41132100212112320122
53124234304101411
6114254554151030
710212040456560
oct1362046267032
9320214788780
10101210222106
1139a17593964
1217747122476
13970c4728b6
144c81a91a30
1529755e3e56
hex1790996e1a

101210222106 has 96 divisors (see below), whose sum is σ = 254351425536. Its totient is φ = 28486836000.

The previous prime is 101210222101. The next prime is 101210222147. The reversal of 101210222106 is 601222012101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101210222101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13155721 + ... + 13163411.

It is an arithmetic number, because the mean of its divisors is an integer number (2649494016).

Almost surely, 2101210222106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210222106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127175712768).

101210222106 is an abundant number, since it is smaller than the sum of its proper divisors (153141203430).

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

101210222106 is a wasteful number, since it uses less digits than its factorization.

101210222106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101210222106 its reverse (601222012101), we get a palindrome (702432234207).

The spelling of 101210222106 in words is "one hundred one billion, two hundred ten million, two hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1471 1491 2942 2982 4413 4473 7691 8826 8946 10297 13239 15382 20594 23073 26478 30891 46146 53837 61782 69219 92673 104441 107674 138438 161511 185346 208882 313323 323022 484533 546061 626646 731087 939969 969066 1092122 1462174 1638183 1879938 2193261 3276366 3822427 4386522 4914549 6579783 7644854 9829098 11313461 11467281 13159566 22626922 22934562 33940383 34401843 67880766 68803686 79194227 101821149 158388454 203642298 237582681 475165362 712748043 803255731 1425496086 1606511462 2409767193 4819534386 5622790117 7229301579 11245580234 14458603158 16868370351 33736740702 50605111053 101210222106