Search a number
-
+
10406103433020 = 2233588872168399
BaseRepresentation
bin1001011101101101110000…
…0110010011111100111100
31100211210222020111010221000
42113123130012103330330
52330443144434324040
634044255315010300
72122546641514551
oct227333406237474
940753866433830
1010406103433020
113352227112a39
121200932b99990
135a63a3108899
1427d92db46a28
15130a475a6130
hex976dc193f3c

10406103433020 has 96 divisors (see below), whose sum is σ = 32378201856000. Its totient is φ = 2774647386432.

The previous prime is 10406103433013. The next prime is 10406103433043. The reversal of 10406103433020 is 2033430160401.

10406103433020 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 10 + 343 + 302 + 0 = 666.

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, 3714781 + ... + 5883179.

It is an arithmetic number, because the mean of its divisors is an integer number (337272936000).

Almost surely, 210406103433020 is an apocalyptic number.

10406103433020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406103433020 is an abundant number, since it is smaller than the sum of its proper divisors (21972098422980).

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

10406103433020 is a wasteful number, since it uses less digits than its factorization.

10406103433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177304 (or 2177296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10406103433020 its reverse (2033430160401), we get a palindrome (12439533593421).

The spelling of 10406103433020 in words is "ten trillion, four hundred six billion, one hundred three million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8887 17774 26661 35548 44435 53322 79983 88870 106644 133305 159966 177740 239949 266610 319932 399915 479898 533220 799830 959796 1199745 1599660 2168399 2399490 4336798 4798980 6505197 8673596 10841995 13010394 19515591 21683990 26020788 32525985 39031182 43367980 58546773 65051970 78062364 97577955 117093546 130103940 195155910 234187092 292733865 390311820 585467730 1170935460 19270561913 38541123826 57811685739 77082247652 96352809565 115623371478 173435057217 192705619130 231246742956 289058428695 346870114434 385411238260 520305171651 578116857390 693740228868 867175286085 1040610343302 1156233714780 1734350572170 2081220686604 2601525858255 3468701144340 5203051716510 10406103433020