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1213015876900 = 225224124572
BaseRepresentation
bin10001101001101101011…
…000010110010100100100
311021222000011101011110021
4101221231120112110210
5124333224031030100
62325130220004524
7153431443555012
oct21515530262444
94258004334407
101213015876900
11428489926053
12177110690744
138a505058209
14429d30278b2
1521847726a1a
hex11a6d616524

1213015876900 has 81 divisors (see below), whose sum is σ = 2649008438937. Its totient is φ = 482135731200.

The previous prime is 1213015876883. The next prime is 1213015876937. The reversal of 1213015876900 is 96785103121.

The square root of 1213015876900 is 1101370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 76676932836 + 1136338944064 = 276906^2 + 1065992^2 .

It is a super-2 number, since 2×12130158769002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2654301472 + ... + 2654301928.

Almost surely, 21213015876900 is an apocalyptic number.

1213015876900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1213015876900 is the 1101370-th square number.

It is an amenable number.

1213015876900 is an abundant number, since it is smaller than the sum of its proper divisors (1435992562037).

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

1213015876900 is an frugal number, since it uses more digits than its factorization.

1213015876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 1213015876900 in words is "one trillion, two hundred thirteen billion, fifteen million, eight hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 457 482 914 964 1205 1828 2285 2410 4570 4820 6025 9140 11425 12050 22850 24100 45700 58081 110137 116162 208849 220274 232324 290405 417698 440548 550685 580810 835396 1044245 1101370 1161620 1452025 2088490 2202740 2753425 2904050 4176980 5221225 5506850 5808100 10442450 11013700 20884900 26543017 50332609 53086034 100665218 106172068 132715085 201330436 251663045 265430170 503326090 530860340 663575425 1006652180 1258315225 1327150850 2516630450 2654301700 5033260900 12130158769 24260317538 48520635076 60650793845 121301587690 242603175380 303253969225 606507938450 1213015876900