Search a number
-
+
102273388084152 = 2335371421885609
BaseRepresentation
bin10111010000010001100000…
…111101110111101110111000
3111102010020111021002000100000
4113100101200331313232320
5101401121344322143102
61001303425035113000
730354002620052325
oct2720214075675670
9442106437060300
10102273388084152
112a65099a347a7a
12b5793268a2760
13450b45405703c
141b380b6343b4c
15bc55739d401c
hex5d0460f77bb8

102273388084152 has 96 divisors (see below), whose sum is σ = 295012826362800. Its totient is φ = 33169747463424.

The previous prime is 102273388084139. The next prime is 102273388084159. The reversal of 102273388084152 is 251480883372201.

102273388084152 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 7 + 338 + 80 + 84 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102273388084159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710870877 + ... + 711014732.

Almost surely, 2102273388084152 is an apocalyptic number.

102273388084152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102273388084152 is an abundant number, since it is smaller than the sum of its proper divisors (192739438278648).

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

102273388084152 is a wasteful number, since it uses less digits than its factorization.

102273388084152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421885667 (or 1421885651 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 102273388084152 in words is "one hundred two trillion, two hundred seventy-three billion, three hundred eighty-eight million, eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1944 1998 2664 2997 3996 5994 7992 8991 11988 17982 23976 35964 71928 1421885609 2843771218 4265656827 5687542436 8531313654 11375084872 12796970481 17062627308 25593940962 34125254616 38390911443 51187881924 52609767533 76781822886 102375763848 105219535066 115172734329 153563645772 157829302599 210439070132 230345468658 307127291544 315658605198 345518202987 420878140264 460690937316 473487907797 631317210396 691036405974 921381874632 946975815594 1262634420792 1382072811948 1420463723391 1893951631188 2764145623896 2840927446782 3787903262376 4261391170173 5681854893564 8522782340346 11363709787128 12784173510519 17045564680692 25568347021038 34091129361384 51136694042076 102273388084152