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1284412062100 = 2252231095123303
BaseRepresentation
bin10010101100001100111…
…011001011100110010100
311112210021212220011100211
4102230030323023212110
5132020433441441400
62422014544015204
7161536633251316
oct22541473134624
94483255804324
101284412062100
11455797140792
12188b17001504
1394172816b4b
144624723b7b6
15236256c6dba
hex12b0cecb994

1284412062100 has 72 divisors (see below), whose sum is σ = 2935038395520. Its totient is φ = 486918622080.

The previous prime is 1284412062091. The next prime is 1284412062119. The reversal of 1284412062100 is 12602144821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310952 + ... + 2812351.

It is an arithmetic number, because the mean of its divisors is an integer number (40764422160).

Almost surely, 21284412062100 is an apocalyptic number.

1284412062100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284412062100 is an abundant number, since it is smaller than the sum of its proper divisors (1650626333420).

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

1284412062100 is a wasteful number, since it uses less digits than its factorization.

1284412062100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123449 (or 5123442 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 1284412062100 in words is "one trillion, two hundred eighty-four billion, four hundred twelve million, sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 109 115 218 230 436 460 545 575 1090 1150 2180 2300 2507 2725 5014 5450 10028 10900 12535 25070 50140 62675 125350 250700 5123303 10246606 20493212 25616515 51233030 102466060 117835969 128082575 235671938 256165150 471343876 512330300 558440027 589179845 1116880054 1178359690 2233760108 2356719380 2792200135 2945899225 5584400270 5891798450 11168800540 11783596900 12844120621 13961000675 25688241242 27922001350 51376482484 55844002700 64220603105 128441206210 256882412420 321103015525 642206031050 1284412062100