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123032212305420 = 223511243633884159
BaseRepresentation
bin11011111110010110101011…
…010011110111011000001100
3121010121202122102011222021110
4123332112223103313120030
5112111224432322233140
61113400115033532020
734625532625420155
oct3376265323673014
9533552572158243
10123032212305420
1136224739448800
1211970572b74010
135385b70771312
142254b1013292c
15e3553bd21380
hex6fe5ab4f760c

123032212305420 has 144 divisors (see below), whose sum is σ = 378741396418560. Its totient is φ = 29819147064960.

The previous prime is 123032212305407. The next prime is 123032212305449. The reversal of 123032212305420 is 24503212230321.

It is a super-2 number, since 2×1230322123054202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29733301 + ... + 33617459.

It is an arithmetic number, because the mean of its divisors is an integer number (2630148586240).

Almost surely, 2123032212305420 is an apocalyptic number.

123032212305420 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 123032212305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189370698209280).

123032212305420 is an abundant number, since it is smaller than the sum of its proper divisors (255709184113140).

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

123032212305420 is a wasteful number, since it uses less digits than its factorization.

123032212305420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888556 (or 3888543 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 123032212305420 its reverse (24503212230321), we get a palindrome (147535424535741).

The spelling of 123032212305420 in words is "one hundred twenty-three trillion, thirty-two billion, two hundred twelve million, three hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 4363 7260 8726 13089 17452 21815 26178 43630 47993 52356 65445 87260 95986 130890 143979 191972 239965 261780 287958 479930 527923 575916 719895 959860 1055846 1439790 1583769 2111692 2639615 2879580 3167538 3884159 5279230 6335076 7768318 7918845 10558460 11652477 15536636 15837690 19420795 23304954 31675380 38841590 42725749 46609908 58262385 77683180 85451498 116524770 128177247 170902996 213628745 233049540 256354494 427257490 469983239 512708988 640886235 854514980 939966478 1281772470 1409949717 1879932956 2349916195 2563544940 2819899434 4699832390 5639798868 7049748585 9399664780 14099497170 16946585717 28198994340 33893171434 50839757151 67786342868 84732928585 101679514302 169465857170 186412442887 203359028604 254198785755 338931714340 372824885774 508397571510 559237328661 745649771548 932062214435 1016795143020 1118474657322 1864124428870 2050536871757 2236949314644 2796186643305 3728248857740 4101073743514 5592373286610 6151610615271 8202147487028 10252684358785 11184746573220 12303221230542 20505368717570 24606442461084 30758053076355 41010737435140 61516106152710 123032212305420