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102233142101322 = 232612231852322541
BaseRepresentation
bin10111001111101100000010…
…000111101000010101001010
3111101222101121110011020211100
4113033230002013220111022
5101344441433334220242
61001233131312042230
730351046364620401
oct2717540207502512
9441871543136740
10102233142101322
112a63591755a441
12b571574533376
13450770c03a70b
141b36179224638
15bc44ba60d54c
hex5cfb021e854a

102233142101322 has 96 divisors (see below), whose sum is σ = 226168195309056. Its totient is φ = 33365471529600.

The previous prime is 102233142101291. The next prime is 102233142101323. The reversal of 102233142101322 is 223101241332201.

102233142101322 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 314 + 21 + 0 + 1 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (102233142101323) 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, 4535419372 + ... + 4535441912.

It is an arithmetic number, because the mean of its divisors is an integer number (2355918701136).

Almost surely, 2102233142101322 is an apocalyptic number.

102233142101322 is an abundant number, since it is smaller than the sum of its proper divisors (123935053207734).

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

102233142101322 is a wasteful number, since it uses less digits than its factorization.

102233142101322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41356 (or 41353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102233142101322 its reverse (223101241332201), we get a palindrome (325334383433523).

The spelling of 102233142101322 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred forty-two million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 223 366 446 549 669 1098 1338 2007 4014 13603 18523 22541 27206 37046 40809 45082 55569 67623 81618 111138 122427 135246 166707 202869 244854 333414 405738 1129903 1375001 2259806 2750002 3389709 4125003 4130629 5026643 6779418 8250006 8261258 10053286 10169127 12375009 12391887 15079929 20338254 24750018 24783774 30159858 37175661 45239787 74351322 90479574 251968369 306625223 417526943 503936738 613250446 755905107 835053886 919875669 1252580829 1511810214 1839751338 2267715321 2505161658 2759627007 3757742487 4535430642 5519254014 7515484974 25469143523 50938287046 76407430569 93108508289 152814861138 186217016578 229222291707 279325524867 458444583414 558651049734 837976574601 1675953149202 5679619005629 11359238011258 17038857016887 34077714033774 51116571050661 102233142101322