Search a number
-
+
321100141204032 = 26329110352283633
BaseRepresentation
bin100100100000010011111001…
…1110110101001001001000000
31120002220212120221011202202120
41021000213303312221021000
5314041401042122012112
63054531211330244240
7124430501556453051
oct11100476366511100
91502825527152676
10321100141204032
11933488947121a3
123001b437726680
1310a227c88031a8
145941488bd6728
15271c841788e8c
hex12409f3da9240

321100141204032 has 112 divisors (see below), whose sum is σ = 879670050704640. Its totient is φ = 103248879935488.

The previous prime is 321100141204027. The next prime is 321100141204081. The reversal of 321100141204032 is 230402141001123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 321100141203993 and 321100141204011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20000313 + ... + 32283320.

Almost surely, 2321100141204032 is an apocalyptic number.

321100141204032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321100141204032 is an abundant number, since it is smaller than the sum of its proper divisors (558569909500608).

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

321100141204032 is a wasteful number, since it uses less digits than its factorization.

321100141204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52284780 (or 52284770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321100141204032 its reverse (230402141001123), we get a palindrome (551502282205155).

The spelling of 321100141204032 in words is "three hundred twenty-one trillion, one hundred billion, one hundred forty-one million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1103 1392 1856 2206 2784 3309 4412 5568 6618 8824 13236 17648 26472 31987 35296 52944 63974 70592 95961 105888 127948 191922 211776 255896 383844 511792 767688 1023584 1535376 2047168 3070752 6141504 52283633 104567266 156850899 209134532 313701798 418269064 627403596 836538128 1254807192 1516225357 1673076256 2509614384 3032450714 3346152512 4548676071 5019228768 6064901428 9097352142 10038457536 12129802856 18194704284 24259605712 36389408568 48519211424 57668847199 72778817136 97038422848 115337694398 145557634272 173006541597 230675388796 291115268544 346013083194 461350777592 692026166388 922701555184 1384052332776 1672396568771 1845403110368 2768104665552 3344793137542 3690806220736 5017189706313 5536209331104 6689586275084 10034379412626 11072418662208 13379172550168 20068758825252 26758345100336 40137517650504 53516690200672 80275035301008 107033380401344 160550070602016 321100141204032