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102101233122 = 232764310931153
BaseRepresentation
bin101111100010110110…
…1010010110111100010
3100202112121111001012200
41133011231102313202
53133100403424442
6114523223434030
710243110106410
oct1370555226742
9322477431180
10102101233122
113a3345366a9
12179555b5916
139821c3c955
144d2814c2b0
1529c894734c
hex17c5b52de2

102101233122 has 96 divisors (see below), whose sum is σ = 253666777728. Its totient is φ = 29074526208.

The previous prime is 102101233103. The next prime is 102101233123. The reversal of 102101233122 is 221332101201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102101233095 and 102101233104.

It is not an unprimeable number, because it can be changed into a prime (102101233123) 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, 88552098 + ... + 88553250.

It is an arithmetic number, because the mean of its divisors is an integer number (2642362268).

Almost surely, 2102101233122 is an apocalyptic number.

102101233122 is an abundant number, since it is smaller than the sum of its proper divisors (151565544606).

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

102101233122 is a wasteful number, since it uses less digits than its factorization.

102101233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2901 counting only the distinct ones).

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

Adding to 102101233122 its reverse (221332101201), we get a palindrome (323433334323).

The spelling of 102101233122 in words is "one hundred two billion, one hundred one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 643 1093 1153 1286 1929 2186 2306 3279 3459 3858 4501 5787 6558 6918 7651 8071 9002 9837 10377 11574 13503 15302 16142 19674 20754 22953 24213 27006 40509 45906 48426 68859 72639 81018 137718 145278 702799 741379 1260229 1405598 1482758 2108397 2224137 2520458 3780687 4216794 4448274 4919593 5189653 6325191 6672411 7561374 8821603 9839186 10379306 11342061 12650382 13344822 14758779 15568959 17643206 22684122 26464809 29517558 31137918 44276337 46706877 52929618 79394427 88552674 93413754 158788854 810327247 1620654494 2430981741 4861963482 5672290729 7292945223 11344581458 14585890446 17016872187 34033744374 51050616561 102101233122