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1052151432120 = 233352342357143
BaseRepresentation
bin11110100111110010001…
…11001100001110111000
310201120210020112200011000
433103321013030032320
5114214301231311440
62123203544405000
7136005202416435
oct17237107141670
93646706480130
101052151432120
11376240065818
1214bab7476760
13782a9993609
1438cd27b0b8c
151c57ee32730
hexf4f91cc3b8

1052151432120 has 128 divisors (see below), whose sum is σ = 3659657241600. Its totient is φ = 268374851712.

The previous prime is 1052151432119. The next prime is 1052151432181. The reversal of 1052151432120 is 212341512501.

It is a happy number.

1052151432120 is a `hidden beast` number, since 1 + 0 + 5 + 21 + 514 + 3 + 2 + 120 = 666.

It is a super-2 number, since 2×10521514321202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21153732 + ... + 21203411.

It is an arithmetic number, because the mean of its divisors is an integer number (28591072200).

Almost surely, 21052151432120 is an apocalyptic number.

1052151432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052151432120 is an abundant number, since it is smaller than the sum of its proper divisors (2607505809480).

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

1052151432120 is a wasteful number, since it uses less digits than its factorization.

1052151432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42357186 (or 42357176 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1052151432120 its reverse (212341512501), we get a palindrome (1264492944621).

The spelling of 1052151432120 in words is "one trillion, fifty-two billion, one hundred fifty-one million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 42357143 84714286 127071429 169428572 211785715 254142858 338857144 381214287 423571430 508285716 635357145 762428574 847142860 974214289 1016571432 1143642861 1270714290 1524857148 1694285720 1906071435 1948428578 2287285722 2541428580 2922642867 3049714296 3812142870 3896857156 4574571444 4871071445 5082857160 5718214305 5845285734 7624285740 7793714312 8767928601 9149142888 9742142890 11436428610 11690571468 14613214335 15248571480 17535857202 19484285780 22872857220 23381142936 26303785803 29226428670 35071714404 38968571560 43839643005 45745714440 52607571606 58452857340 70143428808 87679286010 105215143212 116905714680 131518929015 175358572020 210430286424 263037858030 350717144040 526075716060 1052151432120