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123014203324032 = 2731723819308153
BaseRepresentation
bin11011111110000101111001…
…111001000011011010000000
3121010120001011100002221002210
4123332011321321003122000
5112110431042022332112
61113343540030542120
734624324430540226
oct3376057171033200
9533501140087083
10123014203324032
1136218037891509
1211968b87967940
135384260717a07
142253cc2448b16
15e34d35c91b3c
hex6fe179e43680

123014203324032 has 128 divisors (see below), whose sum is σ = 361019944978560. Its totient is φ = 36914748096512.

The previous prime is 123014203323959. The next prime is 123014203324057. The reversal of 123014203324032 is 230423302410321.

It is a happy number.

123014203324032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409503933 + ... + 409804220.

It is an arithmetic number, because the mean of its divisors is an integer number (2820468320145).

Almost surely, 2123014203324032 is an apocalyptic number.

123014203324032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123014203324032 is an abundant number, since it is smaller than the sum of its proper divisors (238005741654528).

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

123014203324032 is a wasteful number, since it uses less digits than its factorization.

123014203324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819308210 (or 819308198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 123014203324032 its reverse (230423302410321), we get a palindrome (353437505734353).

The spelling of 123014203324032 in words is "one hundred twenty-three trillion, fourteen billion, two hundred three million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2176 2208 2346 2944 3128 3264 4416 4692 6256 6528 8832 9384 12512 18768 25024 37536 50048 75072 150144 819308153 1638616306 2457924459 3277232612 4915848918 6554465224 9831697836 13108930448 13928238601 18844087519 19663395672 26217860896 27856477202 37688175038 39326791344 41784715803 52435721792 55712954404 56532262557 75376350076 78653582688 83569431606 104871443584 111425908808 113064525114 150752700152 157307165376 167138863212 222851817616 226129050228 301505400304 314614330752 320349487823 334277726424 445703635232 452258100456 603010800608 640698975646 668555452848 891407270464 904516200912 961048463469 1206021601216 1281397951292 1337110905696 1782814540928 1809032401824 1922096926938 2412043202432 2562795902584 2674221811392 3618064803648 3844193853876 5125591805168 5348443622784 7236129607296 7688387707752 10251183610336 15376775415504 20502367220672 30753550831008 41004734441344 61507101662016 123014203324032