Search a number
-
+
321420313203400 = 23528391946998387
BaseRepresentation
bin100100100010101000111111…
…1100101111001001011001000
31120011001111000021021112112101
41021011101333211321023020
5314112122300140002100
63055334241535323144
7124462564665526255
oct11105217745711310
91504044007245471
10321420313203400
1193461653436154
12300714b06804b4
1310a46a6183baa8
145952b7cdd442c
152725d2ed3b86a
hex124547f9792c8

321420313203400 has 96 divisors (see below), whose sum is σ = 748238969016000. Its totient is φ = 128406984561920.

The previous prime is 321420313203383. The next prime is 321420313203419. The reversal of 321420313203400 is 4302313024123.

It is a happy number.

It is a super-2 number, since 2×3214203132034002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3266849007 + ... + 3266947393.

It is an arithmetic number, because the mean of its divisors is an integer number (7794155927250).

Almost surely, 2321420313203400 is an apocalyptic number.

It is an amenable number.

321420313203400 is an abundant number, since it is smaller than the sum of its proper divisors (426818655812600).

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

321420313203400 is a wasteful number, since it uses less digits than its factorization.

321420313203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118711 (or 118702 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 321420313203400 its reverse (4302313024123), we get a palindrome (325722626227523).

The spelling of 321420313203400 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred thirteen million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 839 1678 3356 4195 6712 8390 16780 19469 20975 33560 38938 41950 77876 83900 97345 98387 155752 167800 194690 196774 389380 393548 486725 491935 778760 787096 973450 983870 1946900 1967740 2459675 3893800 3935480 4919350 9838700 16334491 19677400 32668982 65337964 81672455 82546693 130675928 163344910 165093386 326689820 330186772 408362275 412733465 653379640 660373544 816724550 825466930 1633449100 1650933860 1915496503 2063667325 3266898200 3301867720 3830993006 4127334650 7661986012 8254669300 9577482515 15323972024 16509338600 19154965030 38309930060 47887412575 76619860120 95774825150 191549650300 383099300600 1607101566017 3214203132034 6428406264068 8035507830085 12856812528136 16071015660170 32142031320340 40177539150425 64284062640680 80355078300850 160710156601700 321420313203400