Search a number
-
+
1001210003100 = 2232522348367633
BaseRepresentation
bin11101001000111001100…
…01000011111010011100
310112201022001020221200200
432210130301003322130
5112400434230044400
62043541033023500
7132222626415606
oct16443461037234
93481261227620
101001210003100
11356679a4415a
1214205b254b90
137354bb830c8
143665d01c176
151b09cacab00
hexe91cc43e9c

1001210003100 has 108 divisors (see below), whose sum is σ = 3274682292336. Its totient is φ = 255381096960.

The previous prime is 1001210003051. The next prime is 1001210003117. The reversal of 1001210003100 is 13000121001.

1001210003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10012100031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24163117 + ... + 24204516.

Almost surely, 21001210003100 is an apocalyptic number.

1001210003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001210003100 is an abundant number, since it is smaller than the sum of its proper divisors (2273472289236).

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

1001210003100 is a wasteful number, since it uses less digits than its factorization.

1001210003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48367676 (or 48367666 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001210003100 its reverse (13000121001), we get a palindrome (1014210124101).

The spelling of 1001210003100 in words is "one trillion, one billion, two hundred ten million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 48367633 96735266 145102899 193470532 241838165 290205798 435308697 483676330 580411596 725514495 870617394 967352660 1112455559 1209190825 1451028990 1741234788 2176543485 2224911118 2418381650 2902057980 3337366677 3627572475 4353086970 4449822236 4836763300 5562277795 6674733354 7255144950 8706173940 10012100031 10882717425 11124555590 13349466708 14510289900 16686833385 20024200062 21765434850 22249111180 27811388975 33373666770 40048400124 43530869700 50060500155 55622777950 66747333540 83434166925 100121000310 111245555900 166868333850 200242000620 250302500775 333736667700 500605001550 1001210003100