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122213003232 = 25319179374317
BaseRepresentation
bin111000111010001110…
…1100110111111100000
3102200110020022211020010
41301310131212333200
54000243012100412
6132051024444520
711554360246605
oct1616435467740
9380406284203
10122213003232
1147915066211
121b828a79740
13b6a881c538
145cb520a6ac
1532a43e033c
hex1c74766fe0

122213003232 has 96 divisors (see below), whose sum is σ = 339581289600. Its totient is φ = 38377870848.

The previous prime is 122213003201. The next prime is 122213003243. The reversal of 122213003232 is 232300312221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 122213003199 and 122213003208.

It is a congruent number.

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, 139338 + ... + 513654.

It is an arithmetic number, because the mean of its divisors is an integer number (3537305100).

Almost surely, 2122213003232 is an apocalyptic number.

122213003232 is a gapful number since it is divisible by the number (12) 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 122213003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169790644800).

122213003232 is an abundant number, since it is smaller than the sum of its proper divisors (217368286368).

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

122213003232 is a wasteful number, since it uses less digits than its factorization.

122213003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374528 (or 374520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122213003232 its reverse (232300312221), we get a palindrome (354513315453).

The spelling of 122213003232 in words is "one hundred twenty-two billion, two hundred thirteen million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 456 537 608 716 912 1074 1432 1824 2148 2864 3401 4296 5728 6802 8592 10203 13604 17184 20406 27208 40812 54416 81624 108832 163248 326496 374317 748634 1122951 1497268 2245902 2994536 4491804 5989072 7112023 8983608 11978144 14224046 17967216 21336069 28448092 35934432 42672138 56896184 67002743 85344276 113792368 134005486 170688552 201008229 227584736 268010972 341377104 402016458 536021944 682754208 804032916 1072043888 1273052117 1608065832 2144087776 2546104234 3216131664 3819156351 5092208468 6432263328 7638312702 10184416936 15276625404 20368833872 30553250808 40737667744 61106501616 122213003232