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103211404000120 = 2351310913671332077
BaseRepresentation
bin10111011101111011000111…
…000100100111101101111000
3111112102220200012111201110001
4113131323013010213231320
5102012003423411000440
61003302355303402344
730511530543561163
oct2735730704475570
9445386605451401
10103211404000120
112a98278a92a139
12b6ab08a4533b4
134578a41801880
141b6b65c5c2ada
15bdeb7372ab9a
hex5ddec7127b78

103211404000120 has 128 divisors (see below), whose sum is σ = 252568382774400. Its totient is φ = 37731553560576.

The previous prime is 103211404000099. The next prime is 103211404000121. The reversal of 103211404000120 is 21000404112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211404000121) 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, 76815522 + ... + 78147598.

It is an arithmetic number, because the mean of its divisors is an integer number (1973190490425).

Almost surely, 2103211404000120 is an apocalyptic number.

103211404000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103211404000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126284191387200).

103211404000120 is an abundant number, since it is smaller than the sum of its proper divisors (149356978774280).

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

103211404000120 is a wasteful number, since it uses less digits than its factorization.

103211404000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333577 (or 1333573 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 103211404000120 its reverse (21000404112301), we get a palindrome (124211808112421).

The spelling of 103211404000120 in words is "one hundred three trillion, two hundred eleven billion, four hundred four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1367 1417 2180 2734 2834 4360 5468 5668 6835 7085 10936 11336 13670 14170 17771 27340 28340 35542 54680 56680 71084 88855 142168 149003 177710 298006 355420 596012 710840 745015 1192024 1332077 1490030 1937039 2664154 2980060 3874078 5328308 5960120 6660385 7748156 9685195 10656616 13320770 15496312 17317001 19370390 26641540 34634002 38740780 53283080 69268004 77481560 86585005 138536008 145196393 173170010 290392786 346340020 580785572 692680040 725981965 1161571144 1451963930 1820949259 1887553109 2903927860 3641898518 3775106218 5807855720 7283797036 7550212436 9104746295 9437765545 14567594072 15100424872 18209492590 18875531090 23672340367 36418985180 37751062180 47344680734 72837970360 75502124360 94689361468 118361701835 189378722936 198483469231 236723403670 396966938462 473446807340 793933876924 946893614680 992417346155 1587867753848 1984834692310 2580285100003 3969669384620 5160570200006 7939338769240 10321140400012 12901425500015 20642280800024 25802851000030 51605702000060 103211404000120