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1087683552120 = 2335113722270343
BaseRepresentation
bin11111101001111101111…
…11011110001101111000
310211222111112111101111110
433310332333132031320
5120310033442131440
62151401441200320
7141403545435144
oct17647677361570
93758445441443
101087683552120
1138a314011450
121569730300a0
137b7502072a9
143a903834224
151d45e573080
hexfd3efde378

1087683552120 has 128 divisors (see below), whose sum is σ = 3655899671040. Its totient is φ = 256554339840.

The previous prime is 1087683552077. The next prime is 1087683552121. The reversal of 1087683552120 is 212553867801.

It is a self number, because there is not a number n which added to its sum of digits gives 1087683552120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087683552121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11086332 + ... + 11184011.

It is an arithmetic number, because the mean of its divisors is an integer number (28561716180).

Almost surely, 21087683552120 is an apocalyptic number.

1087683552120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087683552120 is an abundant number, since it is smaller than the sum of its proper divisors (2568216118920).

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

1087683552120 is a wasteful number, since it uses less digits than its factorization.

1087683552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22270405 (or 22270401 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1087683552120 in words is "one trillion, eighty-seven billion, six hundred eighty-three million, five hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 22270343 44540686 66811029 89081372 111351715 133622058 178162744 222703430 244973773 267244116 334055145 445406860 489947546 534488232 668110290 734921319 824002691 890813720 979895092 1224868865 1336220580 1469842638 1648005382 1959790184 2449737730 2472008073 2672441160 2939685276 3296010764 3674606595 4120013455 4899475460 4944016146 5879370552 6592021528 7349213190 8240026910 9064029601 9798950920 9888032292 12360040365 14698426380 16480053820 18128059202 19776064584 24720080730 27192088803 29396852760 32960107640 36256118404 45320148005 49440161460 54384177606 72512236808 90640296010 98880322920 108768355212 135960444015 181280592020 217536710424 271920888030 362561184040 543841776060 1087683552120