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123020201231032 = 237412931619112951
BaseRepresentation
bin11011111110001011011111…
…011001010000001010111000
3121010120121122100020011201111
4123332023133121100022320
5112111030333003343112
61113350411130530104
734624626161110450
oct3376133731201270
9533517570204644
10123020201231032
113621a635512846
121196a180596934
1353849a822cc01
1422542d0c70d60
15e350876145a7
hex6fe2df6502b8

123020201231032 has 128 divisors (see below), whose sum is σ = 271135763942400. Its totient is φ = 51229348992000.

The previous prime is 123020201230973. The next prime is 123020201231033. The reversal of 123020201231032 is 230132102020321.

It is a junction number, because it is equal to n+sod(n) for n = 123020201230994 and 123020201231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020201231033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089090157 + ... + 1089203107.

It is an arithmetic number, because the mean of its divisors is an integer number (2118248155800).

Almost surely, 2123020201231032 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 123020201231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135567881971200).

123020201231032 is an abundant number, since it is smaller than the sum of its proper divisors (148115562711368).

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

123020201231032 is a wasteful number, since it uses less digits than its factorization.

123020201231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114917 (or 114913 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123020201231032 its reverse (230132102020321), we get a palindrome (353152303251353).

The spelling of 123020201231032 in words is "one hundred twenty-three trillion, twenty billion, two hundred one million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 293 328 574 586 1148 1172 1619 2051 2296 2344 3238 4102 6476 8204 11333 12013 12952 16408 22666 24026 45332 48052 66379 84091 90664 96104 112951 132758 168182 225902 265516 336364 451804 464653 474367 531032 672728 790657 903608 929306 948734 1581314 1858612 1897468 3162628 3320569 3717224 3794936 4630991 6325256 6641138 9261982 13282276 18523964 19449047 26564552 32416937 33094643 37047928 38898094 64833874 66189286 77796188 129667748 132378572 136143329 155592376 182867669 231662501 259335496 264757144 272286658 365735338 463325002 544573316 731470676 926650004 1089146632 1280073683 1356880363 1462941352 1853300008 2560147366 2713760726 5120294732 5427521452 7497574429 9498162541 10240589464 10855042904 14995148858 18996325082 29990297716 37992650164 52483021003 53580227017 59980595432 75985300328 104966042006 107160454034 209932084012 214320908068 375061589119 419864168024 428641816136 750123178238 1500246356476 2196789307697 3000492712952 4393578615394 8787157230788 15377525153879 17574314461576 30755050307758 61510100615516 123020201231032