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301442442312 = 2331123311601441
BaseRepresentation
bin1000110001011110101…
…11101010010001001000
31001211002001010200121110
410120233113222101020
514414323231123222
6350251501410320
730531011324454
oct4305727522110
91054061120543
10301442442312
11106928444590
124a5085699a0
132256c91a77b
1410838941664
157c9413930c
hex462f5ea448

301442442312 has 128 divisors (see below), whose sum is σ = 885533368320. Its totient is φ = 84556032000.

The previous prime is 301442442253. The next prime is 301442442317. The reversal of 301442442312 is 213244244103.

It is a self number, because there is not a number n which added to its sum of digits gives 301442442312.

It is not an unprimeable number, because it can be changed into a prime (301442442317) 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, 612489 + ... + 988952.

It is an arithmetic number, because the mean of its divisors is an integer number (6918229440).

Almost surely, 2301442442312 is an apocalyptic number.

It is an amenable number.

301442442312 is an abundant number, since it is smaller than the sum of its proper divisors (584090926008).

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

301442442312 is a wasteful number, since it uses less digits than its factorization.

301442442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601515 (or 1601511 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 301442442312 its reverse (213244244103), we get a palindrome (514686686415).

The spelling of 301442442312 in words is "three hundred one billion, four hundred forty-two million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 31 33 44 46 62 66 69 88 92 93 124 132 138 184 186 248 253 264 276 341 372 506 552 682 713 744 759 1012 1023 1364 1426 1518 2024 2046 2139 2728 2852 3036 4092 4278 5704 6072 7843 8184 8556 15686 17112 23529 31372 47058 62744 94116 188232 1601441 3202882 4804323 6405764 9608646 12811528 17615851 19217292 35231702 36833143 38434584 49644671 52847553 70463404 73666286 99289342 105695106 110499429 140926808 147332572 148934013 198578684 211390212 220998858 294665144 297868026 397157368 405164573 422780424 441997716 546091381 595736052 810329146 883995432 1092182762 1141827433 1191472104 1215493719 1620658292 1638274143 2184365524 2283654866 2430987438 3241316584 3276548286 3425482299 4368731048 4567309732 4861974876 6553096572 6850964598 9134619464 9723949752 12560101763 13106193144 13701929196 25120203526 27403858392 37680305289 50240407052 75360610578 100480814104 150721221156 301442442312