Search a number
-
+
1051123014700 = 22521141148115737
BaseRepresentation
bin11110100101110111101…
…00000101110000101100
310201111010120101122122221
433102323310011300230
5114210144442432300
62122513530045124
7135640544131063
oct17227364056054
93644116348587
101051123014700
113758625a2570
1214b86ab797a4
13781748b68b5
1438c35d871da
151c51e9db31a
hexf4bbd05c2c

1051123014700 has 144 divisors (see below), whose sum is σ = 2550868171488. Its totient is φ = 372628480000.

The previous prime is 1051123014649. The next prime is 1051123014701. The reversal of 1051123014700 is 74103211501.

It is a super-2 number, since 2×10511230147002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1051123014701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66785232 + ... + 66800968.

It is an arithmetic number, because the mean of its divisors is an integer number (17714362302).

Almost surely, 21051123014700 is an apocalyptic number.

1051123014700 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 1051123014700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275434085744).

1051123014700 is an abundant number, since it is smaller than the sum of its proper divisors (1499745156788).

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

1051123014700 is a wasteful number, since it uses less digits than its factorization.

1051123014700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 1051123014700 in words is "one trillion, fifty-one billion, one hundred twenty-three million, fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1481 1804 2050 2255 2962 4100 4510 5924 7405 9020 11275 14810 15737 16291 22550 29620 31474 32582 37025 45100 60721 62948 65164 74050 78685 81455 121442 148100 157370 162910 173107 242884 303605 314740 325820 346214 393425 407275 607210 645217 667931 692428 786850 814550 865535 1214420 1290434 1335862 1518025 1573700 1629100 1731070 2580868 2671724 3036050 3226085 3339655 3462140 4327675 6072100 6452170 6679310 7097387 8655350 12904340 13358620 14194774 16130425 16698275 17310700 23306497 28389548 32260850 33396550 35486935 46612994 64521700 66793100 70973870 93225988 116532485 141947740 177434675 233064970 256371467 354869350 466129940 512742934 582662425 709738700 955566377 1025485868 1165324850 1281857335 1911132754 2330649700 2563714670 3822265508 4777831885 5127429340 6409286675 9555663770 10511230147 12818573350 19111327540 21022460294 23889159425 25637146700 42044920588 47778318850 52556150735 95556637700 105112301470 210224602940 262780753675 525561507350 1051123014700