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321140111420 = 225232334197151
BaseRepresentation
bin1001010110001010111…
…00010011100000111100
31010200220210202221211202
410223011130103200330
520230143332031140
6403310231035032
732126102623262
oct4530534234074
91120823687752
10321140111420
11114216247967
12522a520ba78
132438b78c68b
1411786a08432
158548585915
hex4ac571383c

321140111420 has 96 divisors (see below), whose sum is σ = 708521748480. Its totient is φ = 122034598400.

The previous prime is 321140111417. The next prime is 321140111429. The reversal of 321140111420 is 24111041123.

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 = 321140111392 and 321140111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321140111429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44904845 + ... + 44911995.

It is an arithmetic number, because the mean of its divisors is an integer number (7380434880).

Almost surely, 2321140111420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321140111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354260874240).

321140111420 is an abundant number, since it is smaller than the sum of its proper divisors (387381637060).

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

321140111420 is a wasteful number, since it uses less digits than its factorization.

321140111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 321140111420 its reverse (24111041123), we get a palindrome (345251152543).

The spelling of 321140111420 in words is "three hundred twenty-one billion, one hundred forty million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 233 419 460 466 838 932 1165 1676 2095 2330 4190 4660 5359 7151 8380 9637 10718 14302 19274 21436 26795 28604 35755 38548 48185 53590 71510 96370 97627 107180 143020 164473 192740 195254 328946 390508 488135 657892 822365 976270 1644730 1666183 1952540 2245421 2996269 3289460 3332366 4490842 5992538 6664732 8330915 8981684 11227105 11985076 14981345 16661830 22454210 29962690 33323660 38322209 44908420 59925380 68914187 76644418 137828374 153288836 191611045 275656748 344570935 383222090 689141870 698130677 766444180 1378283740 1396261354 2792522708 3490653385 6981306770 13962613540 16057005571 32114011142 64228022284 80285027855 160570055710 321140111420