Search a number
-
+
1012213032320 = 2757587384907
BaseRepresentation
bin11101011101011001001…
…10010010010110000000
310120202200212101202020102
432232230212102112000
5113041003014013240
62053000530101532
7133062403546160
oct16565446222600
93522625352212
101012213032320
11360305960936
1214421011a8a8
13745b35cb499
1436dc447a5a0
151b4e3a67815
hexebac992580

1012213032320 has 128 divisors (see below), whose sum is σ = 2770229064960. Its totient is φ = 346452350976.

The previous prime is 1012213032317. The next prime is 1012213032329. The reversal of 1012213032320 is 232303122101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012213032292 and 1012213032301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012213032329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2437307 + ... + 2822213.

It is an arithmetic number, because the mean of its divisors is an integer number (21642414570).

Almost surely, 21012213032320 is an apocalyptic number.

1012213032320 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 1012213032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385114532480).

1012213032320 is an abundant number, since it is smaller than the sum of its proper divisors (1758016032640).

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

1012213032320 is an equidigital number, since it uses as much as digits as its factorization.

1012213032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385520 (or 385508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1012213032320 its reverse (232303122101), we get a palindrome (1244516154421).

The spelling of 1012213032320 in words is "one trillion, twelve billion, two hundred thirteen million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 587 640 896 1120 1174 2240 2348 2935 4109 4480 4696 5870 8218 9392 11740 16436 18784 20545 23480 32872 37568 41090 46960 65744 75136 82180 93920 131488 164360 187840 262976 328720 375680 384907 525952 657440 769814 1314880 1539628 1924535 2629760 2694349 3079256 3849070 5388698 6158512 7698140 10777396 12317024 13471745 15396280 21554792 24634048 26943490 30792560 43109584 49268096 53886980 61585120 86219168 107773960 123170240 172438336 215547920 225940409 246340480 344876672 431095840 451880818 862191680 903761636 1129702045 1581582863 1724383360 1807523272 2259404090 3163165726 3615046544 4518808180 6326331452 7230093088 7907914315 9037616360 12652662904 14460186176 15815828630 18075232720 25305325808 28920372352 31631657260 36150465440 50610651616 63263314520 72300930880 101221303232 126526629040 144601861760 202442606464 253053258080 506106516160 1012213032320