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321203100000420 = 2232511162223787879
BaseRepresentation
bin100100100001000011110110…
…0101011010010000010100100
31120010021201100022022112121200
41021002013230223102002210
5314100042422100003140
63055050400030442500
7124441105152004101
oct11102075453220244
91503251308275550
10321203100000420
1193388519225870
1230037390363430
1310a2c4262cb811
145946454bb5aa8
15272036a629030
hex12421ecad20a4

321203100000420 has 72 divisors (see below), whose sum is σ = 1062890258189760. Its totient is φ = 77867418181440.

The previous prime is 321203100000311. The next prime is 321203100000463. The reversal of 321203100000420 is 24000001302123.

321203100000420 is a `hidden beast` number, since 3 + 212 + 0 + 31 + 0 + 0 + 0 + 0 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321203100000393 and 321203100000402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81111891960 + ... + 81111895919.

It is an arithmetic number, because the mean of its divisors is an integer number (14762364697080).

Almost surely, 2321203100000420 is an apocalyptic number.

321203100000420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321203100000420 is an abundant number, since it is smaller than the sum of its proper divisors (741687158189340).

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

321203100000420 is a wasteful number, since it uses less digits than its factorization.

321203100000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162223787905 (or 162223787900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 321203100000420 its reverse (24000001302123), we get a palindrome (345203101302543).

The spelling of 321203100000420 in words is "three hundred twenty-one trillion, two hundred three billion, one hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 162223787879 324447575758 486671363637 648895151516 811118939395 973342727274 1460014090911 1622237878790 1784461666669 1946685454548 2433356818185 2920028181822 3244475757580 3568923333338 4866713636370 5353385000007 5840056363644 7137846666676 7300070454555 8922308333345 9733427272740 10706770000014 14600140909110 16060155000021 17844616666690 21413540000028 26766925000035 29200281818220 32120310000042 35689233333380 53533850000070 64240620000084 80300775000105 107067700000140 160601550000210 321203100000420