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3332121032214 = 2341317127732841
BaseRepresentation
bin110000011111010001111…
…000111111011000010110
3102210112210020120210210000
4300133101320333120112
5414043140441012324
611030431045512130
7462511031310612
oct60372170773026
912715706523700
103332121032214
1110751654aa997
12459954712646
131b22aa296940
14b73c0046342
155ba21d4a9c9
hex307d1e3f616

3332121032214 has 160 divisors (see below), whose sum is σ = 8580794213376. Its totient is φ = 957358725120.

The previous prime is 3332121032179. The next prime is 3332121032237. The reversal of 3332121032214 is 4122301212333.

3332121032214 is a `hidden beast` number, since 3 + 3 + 321 + 2 + 1 + 0 + 322 + 14 = 666.

It is a super-2 number, since 2×33321210322142 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4180434 + ... + 4913274.

Almost surely, 23332121032214 is an apocalyptic number.

3332121032214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332121032214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290397106688).

3332121032214 is an abundant number, since it is smaller than the sum of its proper divisors (5248673181162).

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

3332121032214 is a wasteful number, since it uses less digits than its factorization.

3332121032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733012 (or 733003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3332121032214 its reverse (4122301212333), we get a palindrome (7454422244547).

The spelling of 3332121032214 in words is "three trillion, three hundred thirty-two billion, one hundred twenty-one million, thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 127 153 162 221 234 254 306 351 381 442 459 663 702 762 918 1053 1143 1326 1377 1651 1989 2106 2159 2286 2754 3302 3429 3978 4318 4953 5967 6477 6858 9906 10287 11934 12954 14859 17901 19431 20574 28067 29718 35802 38862 44577 56134 58293 84201 89154 116586 133731 168402 174879 252603 267462 349758 505206 732841 757809 1465682 1515618 2198523 2273427 4397046 4546854 6595569 9526933 12458297 13191138 19053866 19786707 24916594 28580799 37374891 39573414 57161598 59360121 74749782 85742397 93070807 112124673 118720242 161957861 171484794 186141614 224249346 257227191 279212421 323915722 336374019 485873583 514454382 558424842 672748038 771681573 837637263 971747166 1009122057 1209920491 1457620749 1543363146 1582203719 1675274526 2018244114 2419840982 2512911789 2915241498 3164407438 3629761473 4372862247 4746611157 5025823578 7259522946 7538735367 8745724494 9493222314 10889284419 13118586741 14239833471 15077470734 20568648347 21778568838 26237173482 28479666942 32667853257 41137296694 42719500413 61705945041 65335706514 85439000826 98003559771 123411890082 128158501239 185117835123 196007119542 256317002478 370235670246 555353505369 1110707010738 1666060516107 3332121032214