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203321133132 = 223132479721991
BaseRepresentation
bin1011110101011011100…
…0100100100001001100
3201102210210120201200020
42331112320210201030
511312400202230012
6233223205302140
720455326054615
oct2752670444114
9642723521606
10203321133132
117925652a727
12334a3a04950
13162333c0600
149bab1dcc0c
15544eceda8c
hex2f56e2484c

203321133132 has 144 divisors (see below), whose sum is σ = 530079685632. Its totient is φ = 60595292160.

The previous prime is 203321133131. The next prime is 203321133133. The reversal of 203321133132 is 231331123302.

It is an interprime number because it is at equal distance from previous prime (203321133131) and next prime (203321133133).

It is not an unprimeable number, because it can be changed into a prime (203321133131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9234657 + ... + 9256647.

It is an arithmetic number, because the mean of its divisors is an integer number (3681108928).

Almost surely, 2203321133132 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 203321133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265039842816).

203321133132 is an abundant number, since it is smaller than the sum of its proper divisors (326758552500).

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

203321133132 is a wasteful number, since it uses less digits than its factorization.

203321133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22168 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 203321133132 its reverse (231331123302), we get a palindrome (434652256434).

The spelling of 203321133132 in words is "two hundred three billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 97 141 156 169 188 194 282 291 338 388 507 564 582 611 676 1014 1164 1222 1261 1833 2028 2444 2522 3666 3783 4559 5044 7332 7566 7943 9118 13677 15132 15886 16393 18236 21991 23829 27354 31772 32786 43982 47658 49179 54708 59267 65572 65973 87964 95316 98358 118534 131946 177801 196716 237068 263892 285883 355602 571766 711204 770471 857649 1033577 1143532 1540942 1715298 2067154 2133127 2311413 3081884 3100731 3430596 3716479 4134308 4266254 4622826 6201462 6399381 7432958 8532508 9245652 11149437 12402924 12798762 13436501 14865916 22298874 25597524 26873002 27730651 40309503 44597748 53746004 55461302 80619006 83191953 100256969 110922604 161238012 166383906 174674513 200513938 300770907 332767812 349349026 360498463 401027876 524023539 601541814 698698052 720996926 1048047078 1081495389 1203083628 1303340597 1441993852 2096094156 2162990778 2606681194 3910021791 4325981556 5213362388 7820043582 15640087164 16943427761 33886855522 50830283283 67773711044 101660566566 203321133132