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2023020300432 = 2433713710917621
BaseRepresentation
bin11101011100000101011…
…010000000100010010000
321011101202202121021111210
4131130011122000202100
5231121121144103212
64145210201540120
7266105220554415
oct35340532004220
97141682537453
102023020300432
1170aa5a24626a
122880a94a4640
13118a018b0611
146dcb3d4410c
1537953e9c53c
hex1d705680890

2023020300432 has 160 divisors (see below), whose sum is σ = 5412226345344. Its totient is φ = 650643148800.

The previous prime is 2023020300403. The next prime is 2023020300443. The reversal of 2023020300432 is 2340030203202.

It is a super-2 number, since 2×20230203004322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023020300399 and 2023020300408.

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, 265449582 + ... + 265457202.

Almost surely, 22023020300432 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 2023020300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706113172672).

2023020300432 is an abundant number, since it is smaller than the sum of its proper divisors (3389206044912).

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

2023020300432 is a wasteful number, since it uses less digits than its factorization.

2023020300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 2023020300432 its reverse (2340030203202), we get a palindrome (4363050503634).

The spelling of 2023020300432 in words is "two trillion, twenty-three billion, twenty million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 137 148 222 274 296 411 444 548 592 822 888 1091 1096 1644 1776 2182 2192 3273 3288 4364 5069 6546 6576 7621 8728 10138 13092 15207 15242 17456 20276 22863 26184 30414 30484 40367 40552 45726 52368 60828 60968 80734 81104 91452 121101 121656 121936 149467 161468 182904 242202 243312 281977 298934 322936 365808 448401 484404 563954 597868 645872 845931 896802 968808 1044077 1127908 1195736 1691862 1793604 1937616 2088154 2255816 2391472 3132231 3383724 3587208 4176308 4511632 5530279 6264462 6767448 7174416 8314511 8352616 11060558 12528924 13534896 16590837 16629022 16705232 22121116 24943533 25057848 33181674 33258044 38630849 44242232 49887066 50115696 66363348 66516088 77261698 88484464 99774132 115892547 132726696 133032176 154523396 199548264 231785094 265453392 307636907 309046792 399096528 463570188 615273814 618093584 922910721 927140376 1139088007 1230547628 1845821442 1854280752 2278176014 2461095256 3417264021 3691642884 4556352028 4922190512 6834528042 7383285768 9112704056 13669056084 14766571536 18225408112 27338112168 42146256259 54676224336 84292512518 126438768777 168585025036 252877537554 337170050072 505755075108 674340100144 1011510150216 2023020300432