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10320201133000 = 2353112713461993
BaseRepresentation
bin1001011000101101101111…
…1011000010101111001000
31100112121020120011011102121
42112023123323002233020
52323041232442224000
633541011314341024
72113416130150303
oct226133373025710
940477216134377
1010320201133000
113319855546560
1211a815a58a774
1359b263224965
14279701151b3a
1512d6bad4cb1a
hex962dbec2bc8

10320201133000 has 128 divisors (see below), whose sum is σ = 26441879293440. Its totient is φ = 3738951360000.

The previous prime is 10320201132953. The next prime is 10320201133003. The reversal of 10320201133000 is 33110202301.

It is not an unprimeable number, because it can be changed into a prime (10320201133003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1250004 + ... + 4711996.

It is an arithmetic number, because the mean of its divisors is an integer number (206577181980).

Almost surely, 210320201133000 is an apocalyptic number.

10320201133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320201133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220939646720).

10320201133000 is an abundant number, since it is smaller than the sum of its proper divisors (16121678160440).

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

10320201133000 is a wasteful number, since it uses less digits than its factorization.

10320201133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462296 (or 3462282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10320201133000 its reverse (33110202301), we get a palindrome (10353311335301).

The spelling of 10320201133000 in words is "ten trillion, three hundred twenty billion, two hundred one million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 271 275 440 500 542 550 1000 1084 1100 1355 1375 2168 2200 2710 2750 2981 5420 5500 5962 6775 10840 11000 11924 13550 14905 23848 27100 29810 33875 54200 59620 67750 74525 119240 135500 149050 271000 298100 372625 596200 745250 1490500 2981000 3461993 6923986 13847972 17309965 27695944 34619930 38081923 69239860 76163846 86549825 138479720 152327692 173099650 190409615 304655384 346199300 380819230 432749125 692398600 761638460 865498250 938200103 952048075 1523276920 1730996500 1876400206 1904096150 3461993000 3752800412 3808192300 4691000515 4760240375 7505600824 7616384600 9382001030 9520480750 10320201133 18764002060 19040961500 20640402266 23455002575 37528004120 38081923000 41280804532 46910005150 51601005665 82561609064 93820010300 103202011330 117275012875 187640020600 206404022660 234550025750 258005028325 412808045320 469100051500 516010056650 938200103000 1032020113300 1290025141625 2064040226600 2580050283250 5160100566500 10320201133000