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123222231020 = 225719210323671
BaseRepresentation
bin111001011000010011…
…1100000011111101100
3102210001120100220111002
41302300213200133230
54004324342343040
6132335120015432
711621363452640
oct1626047403754
9383046326432
10123222231020
1148292811a69
121ba6aa61578
13b80993a945
145d6d27ac20
153312ce5a15
hex1cb09e07ec

123222231020 has 144 divisors (see below), whose sum is σ = 315161054208. Its totient is φ = 39633805440.

The previous prime is 123222231017. The next prime is 123222231023. The reversal of 123222231020 is 20132222321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123222231017) and next prime (123222231023).

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 = 123222230983 and 123222231001.

It is not an unprimeable number, because it can be changed into a prime (123222231023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5193785 + ... + 5217455.

It is an arithmetic number, because the mean of its divisors is an integer number (2188618432).

Almost surely, 2123222231020 is an apocalyptic number.

123222231020 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 123222231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157580527104).

123222231020 is an abundant number, since it is smaller than the sum of its proper divisors (191938823188).

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

123222231020 is a wasteful number, since it uses less digits than its factorization.

123222231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23828 (or 23807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123222231020 its reverse (20132222321), we get a palindrome (143354453341).

The spelling of 123222231020 in words is "one hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 103 133 140 190 206 266 361 380 412 515 532 665 721 722 1030 1330 1442 1444 1805 1957 2060 2527 2660 2884 3605 3610 3914 5054 7210 7220 7828 9785 10108 12635 13699 14420 19570 23671 25270 27398 37183 39140 47342 50540 54796 68495 74366 94684 118355 136990 148732 165697 185915 236710 260281 273980 331394 371830 449749 473420 520562 662788 743660 828485 899498 1041124 1301405 1656970 1798996 2248745 2438113 2602810 3148243 3313940 4497490 4876226 5205620 6296486 8545231 8994980 9752452 12190565 12592972 15741215 17066791 17090462 24381130 31482430 34133582 34180924 42726155 46324147 48762260 59816617 62964860 68267164 85333955 85452310 92648294 119633234 170667910 170904620 185296588 231620735 239266468 299083085 324269029 341335820 463241470 598166170 648538058 880158793 926482940 1196332340 1297076116 1621345145 1760317586 3242690290 3520635172 4400793965 6161111551 6485380580 8801587930 12322223102 17603175860 24644446204 30805557755 61611115510 123222231020