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2142202022412 = 2234325131195303
BaseRepresentation
bin11111001011000101001…
…100001100101000001100
321120210101202001001120220
4133023011030030220030
5240044212204204122
64320040343511340
7310524522515544
oct37130514145014
97523352031526
102142202022412
11756559215a61
122a720b158550
131270163b53ba
147597c724324
153aacc1ba25c
hex1f2c530ca0c

2142202022412 has 96 divisors (see below), whose sum is σ = 5137707294720. Its totient is φ = 694328712000.

The previous prime is 2142202022381. The next prime is 2142202022419.

2142202022412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2142202022419) 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, 403957753 + ... + 403963055.

It is an arithmetic number, because the mean of its divisors is an integer number (53517784320).

Almost surely, 22142202022412 is an apocalyptic number.

It is an amenable number.

2142202022412 is an abundant number, since it is smaller than the sum of its proper divisors (2995505272308).

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

2142202022412 is a wasteful number, since it uses less digits than its factorization.

2142202022412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 2142202022412 in words is "two trillion, one hundred forty-two billion, two hundred two million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 251 258 502 516 753 1004 1506 3012 3119 5303 6238 9357 10606 10793 12476 15909 18714 21212 21586 31818 32379 37428 43172 63636 64758 129516 134117 228029 268234 402351 456058 536468 684087 782869 804702 912116 1331053 1368174 1565738 1609404 2348607 2662106 2736348 3131476 3993159 4697214 5324212 7986318 9394428 15972636 16540057 33080114 33663367 49620171 57235279 66160228 67326734 99240342 100990101 114470558 134653468 171705837 198480684 201980202 228941116 343411674 403960404 686823348 711222451 1422444902 2133667353 2844889804 4151554307 4267334706 8303108614 8534669412 12454662921 16606217228 24909325842 49818651684 178516835201 357033670402 535550505603 714067340804 1071101011206 2142202022412