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2023304100312 = 23311199162723671
BaseRepresentation
bin11101011100010110010…
…100100111100111011000
321011102111112121210202110
4131130112110213213120
5231122211322202222
64145254300432320
7266115235042335
oct35342624474730
97142445553673
102023304100312
11710095465320
122881685486a0
13118a48628741
146dcdd8db98c
153796dd5b30c
hex1d7165279d8

2023304100312 has 128 divisors (see below), whose sum is σ = 5549474304000. Its totient is φ = 609640732800.

The previous prime is 2023304100299. The next prime is 2023304100319. The reversal of 2023304100312 is 2130014033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023304100319) 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, 85464237 + ... + 85487907.

It is an arithmetic number, because the mean of its divisors is an integer number (43355268000).

Almost surely, 22023304100312 is an apocalyptic number.

2023304100312 is a gapful number since it is divisible by the number (22) 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 2023304100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774737152000).

2023304100312 is an abundant number, since it is smaller than the sum of its proper divisors (3526170203688).

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

2023304100312 is a wasteful number, since it uses less digits than its factorization.

2023304100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25517 (or 25513 counting only the distinct ones).

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

Adding to 2023304100312 its reverse (2130014033202), we get a palindrome (4153318133514).

The spelling of 2023304100312 in words is "two trillion, twenty-three billion, three hundred four million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 1627 2189 2388 3254 4378 4776 4881 6508 6567 8756 9762 13016 13134 17512 17897 19524 23671 26268 35794 39048 47342 52536 53691 71013 71588 94684 107382 142026 143176 189368 214764 260381 284052 323773 429528 520762 568104 647546 781143 971319 1041524 1295092 1562286 1942638 2083048 2590184 3124572 3561503 3885276 4710529 6249144 7123006 7770552 9421058 10684509 14131587 14246012 18842116 21369018 28263174 28492024 37684232 38512717 42738036 51815819 56526348 77025434 85476072 103631638 113052696 115538151 154050868 155447457 207263276 231076302 308101736 310894914 414526552 423639887 462152604 621789828 847279774 924305208 1243579656 1270919661 1694559548 2541839322 3389119096 5083678644 7664030683 10167357288 15328061366 22992092049 30656122732 45984184098 61312245464 84304337513 91968368196 168608675026 183936736392 252913012539 337217350052 505826025078 674434700104 1011652050156 2023304100312