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103040132104320 = 2735439122247689
BaseRepresentation
bin10111011011011011100110…
…011110001100000010000000
3111111211112120222012221021220
4113123123212132030002000
5102001202142304314240
61003051552212315040
730463255346514045
oct2733334636140200
9444745528187256
10103040132104320
112a91709035a914
12b681a4b912a80
1345658481cc928
141b63251a631cc
15bda49c3e25d0
hex5db6e678c080

103040132104320 has 128 divisors (see below), whose sum is σ = 329188579632000. Its totient is φ = 27414777520128.

The previous prime is 103040132104309. The next prime is 103040132104337. The reversal of 103040132104320 is 23401231040301.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 60280965 + ... + 61966724.

It is an arithmetic number, because the mean of its divisors is an integer number (2571785778375).

Almost surely, 2103040132104320 is an apocalyptic number.

103040132104320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040132104320 is an abundant number, since it is smaller than the sum of its proper divisors (226148447527680).

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

103040132104320 is a wasteful number, since it uses less digits than its factorization.

103040132104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122248150 (or 122248138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103040132104320 its reverse (23401231040301), we get a palindrome (126441363144621).

The spelling of 103040132104320 in words is "one hundred three trillion, forty billion, one hundred thirty-two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 439 480 640 878 960 1317 1756 1920 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 14048 17560 21072 26340 28096 35120 42144 52680 56192 70240 84288 105360 140480 168576 210720 280960 421440 842880 122247689 244495378 366743067 488990756 611238445 733486134 977981512 1222476890 1466972268 1833715335 1955963024 2444953780 2933944536 3667430670 3911926048 4889907560 5867889072 7334861340 7823852096 9779815120 11735778144 14669722680 15647704192 19559630240 23471556288 29339445360 39119260480 46943112576 53666735471 58678890720 78238520960 107333470942 117357781440 161000206413 214666941884 234715562880 268333677355 322000412826 429333883768 536667354710 644000825652 805001032065 858667767536 1073334709420 1288001651304 1610002064130 1717335535072 2146669418840 2576003302608 3220004128260 3434671070144 4293338837680 5152006605216 6440008256520 6869342140288 8586677675360 10304013210432 12880016513040 17173355350720 20608026420864 25760033026080 34346710701440 51520066052160 103040132104320