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30202122312 = 23323721312339
BaseRepresentation
bin11100001000001011…
…111101000001001000
32212221211121210001200
4130020023331001020
5443323220403222
621512532144200
72116302542505
oct341013750110
985854553050
1030202122312
111189934656a
125a2a768060
132b042133bb
1416672204ac
15bbb751eac
hex7082fd048

30202122312 has 144 divisors (see below), whose sum is σ = 84745861200. Its totient is φ = 9716353920.

The previous prime is 30202122311. The next prime is 30202122323. The reversal of 30202122312 is 21322120203.

30202122312 is a `hidden beast` number, since 30 + 202 + 122 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30202122311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12911239 + ... + 12913577.

It is an arithmetic number, because the mean of its divisors is an integer number (588512925).

Almost surely, 230202122312 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 30202122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42372930600).

30202122312 is an abundant number, since it is smaller than the sum of its proper divisors (54543738888).

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

30202122312 is a wasteful number, since it uses less digits than its factorization.

30202122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30202122312 its reverse (21322120203), we get a palindrome (51524242515).

The spelling of 30202122312 in words is "thirty billion, two hundred two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1332 1369 1572 2339 2358 2664 2738 3144 4107 4678 4716 4847 5476 7017 8214 9356 9432 9694 10952 12321 14034 14541 16428 18712 19388 21051 24642 28068 29082 32856 38776 42102 43623 49284 56136 58164 84204 86543 87246 98568 116328 168408 173086 174492 179339 259629 306409 346172 348984 358678 519258 538017 612818 692344 717356 778887 919227 1038516 1076034 1225636 1434712 1557774 1614051 1838454 2077032 2152068 2451272 2757681 3115548 3202091 3228102 3676908 4304136 5515362 6231096 6404182 6456204 7353816 9606273 11030724 11337133 12808364 12912408 19212546 22061448 22674266 25616728 28818819 34011399 38425092 45348532 57637638 68022798 76850184 90697064 102034197 115275276 136045596 204068394 230550552 272091192 408136788 419473921 816273576 838947842 1258421763 1677895684 2516843526 3355791368 3775265289 5033687052 7550530578 10067374104 15101061156 30202122312