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1023120100134 = 2331117346929207
BaseRepresentation
bin11101110001101101011…
…01011100101100100110
310121210211222222012111000
432320312231130230212
5113230322221201014
62102003114254130
7133626604234536
oct16706655345446
93553758865430
101023120100134
113649a2695370
12146354a27346
13756311b8372
143773ac794c6
151b93139b509
hexee36b5cb26

1023120100134 has 128 divisors (see below), whose sum is σ = 2627037619200. Its totient is φ = 291704855040.

The previous prime is 1023120100063. The next prime is 1023120100141. The reversal of 1023120100134 is 4310010213201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35015359 + ... + 35044565.

It is an arithmetic number, because the mean of its divisors is an integer number (20523731400).

Almost surely, 21023120100134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023120100134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313518809600).

1023120100134 is an abundant number, since it is smaller than the sum of its proper divisors (1603917519066).

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

1023120100134 is a wasteful number, since it uses less digits than its factorization.

1023120100134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32715 (or 32709 counting only the distinct ones).

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

Adding to 1023120100134 its reverse (4310010213201), we get a palindrome (5333130313335).

The spelling of 1023120100134 in words is "one trillion, twenty-three billion, one hundred twenty million, one hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 3469 5049 6938 10098 10407 20814 29207 31221 38159 58414 58973 62442 76318 87621 93663 114477 117946 175242 176919 187326 228954 262863 321277 343431 353838 496519 525726 530757 642554 648703 686862 788589 963831 993038 1030293 1061514 1297406 1489557 1577178 1592271 1927662 1946109 2060586 2891493 2979114 3184542 3892218 4468671 5461709 5782986 5838327 8674479 8937342 10923418 11676654 13406013 16385127 17348958 17514981 26812026 32770254 35029962 49155381 98310762 101319083 147466143 202638166 294932286 303957249 607914498 911871747 1114509913 1722424411 1823743494 2229019826 2735615241 3343529739 3444848822 5167273233 5471230482 6687059478 10030589217 10334546466 15501819699 18946668521 20061178434 30091767651 31003639398 37893337042 46505459097 56840005563 60183535302 93010918194 113680011126 170520016689 341040033378 511560050067 1023120100134