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123232203220 = 22578380913109
BaseRepresentation
bin111001011000100110…
…1100011000111010100
3102210002021010112202211
41302301031203013110
54004334421000340
6132340113443204
711621544305260
oct1626115430724
9383067115684
10123232203220
1148298403255
121ba72270504
13b80ba1c959
145d707150a0
153313b155ea
hex1cb13631d4

123232203220 has 96 divisors (see below), whose sum is σ = 299713478400. Its totient is φ = 41687215104.

The previous prime is 123232203209. The next prime is 123232203287. The reversal of 123232203220 is 22302232321.

123232203220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123232203191 and 123232203200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9394026 + ... + 9407134.

It is an arithmetic number, because the mean of its divisors is an integer number (3122015400).

Almost surely, 2123232203220 is an apocalyptic number.

123232203220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123232203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149856739200).

123232203220 is an abundant number, since it is smaller than the sum of its proper divisors (176481275180).

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

123232203220 is a wasteful number, since it uses less digits than its factorization.

123232203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 123232203220 its reverse (22302232321), we get a palindrome (145534435541).

The spelling of 123232203220 in words is "one hundred twenty-three billion, two hundred thirty-two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 809 830 1162 1618 1660 2324 2905 3236 4045 5663 5810 8090 11326 11620 13109 16180 22652 26218 28315 52436 56630 65545 67147 91763 113260 131090 134294 183526 262180 268588 335735 367052 458815 470029 671470 917630 940058 1088047 1342940 1835260 1880116 2176094 2350145 4352188 4700290 5440235 7616329 9400580 10605181 10880470 15232658 21210362 21760940 30465316 38081645 42420724 53025905 74236267 76163290 106051810 148472534 152326580 212103620 296945068 371181335 742362670 880230023 1484725340 1760460046 3520920092 4401150115 6161610161 8802300230 12323220322 17604600460 24646440644 30808050805 61616101610 123232203220