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121903355392 = 297137933119
BaseRepresentation
bin111000110001000000…
…0011001011000000000
3102122122122200002020121
41301202000121120000
53444124224333032
6132000203550024
711543610265330
oct1614200313000
9378578602217
10121903355392
11477762a2205
121b76122b314
13b659624270
145c860450c0
153287127a97
hex1c62019600

121903355392 has 160 divisors (see below), whose sum is σ = 303580569600. Its totient is φ = 47613616128.

The previous prime is 121903355383. The next prime is 121903355407. The reversal of 121903355392 is 293553309121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3664209 + ... + 3697327.

It is an arithmetic number, because the mean of its divisors is an integer number (1897378560).

Almost surely, 2121903355392 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 121903355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151790284800).

121903355392 is an abundant number, since it is smaller than the sum of its proper divisors (181677214208).

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

121903355392 is an equidigital number, since it uses as much as digits as its factorization.

121903355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33236 (or 33220 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The spelling of 121903355392 in words is "one hundred twenty-one billion, nine hundred three million, three hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 182 208 224 256 316 364 416 448 512 553 632 728 832 896 1027 1106 1264 1456 1664 1792 2054 2212 2528 2912 3328 3584 4108 4424 5056 5824 6656 7189 8216 8848 10112 11648 14378 16432 17696 20224 23296 28756 32864 33119 35392 40448 46592 57512 65728 66238 70784 115024 131456 132476 141568 230048 231833 262912 264952 283136 430547 460096 463666 525824 529904 861094 920192 927332 1059808 1722188 1840384 1854664 2119616 2616401 3013829 3444376 3680768 3709328 4239232 5232802 6027658 6888752 7418656 8478464 10465604 12055316 13777504 14837312 16956928 18314807 20931208 24110632 27555008 29674624 34013213 36629614 41862416 48221264 55110016 59349248 68026426 73259228 83724832 96442528 110220032 118698496 136052852 146518456 167449664 192885056 220440064 238092491 272105704 293036912 334899328 385770112 476184982 544211408 586073824 669798656 771540224 952369964 1088422816 1172147648 1339597312 1543080448 1904739928 2176845632 2344295296 3809479856 4353691264 4688590592 7618959712 8707382528 9377181184 15237919424 17414765056 30475838848 60951677696 121903355392