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103203143120 = 24571165925423
BaseRepresentation
bin110000000011101100…
…0101111110111010000
3100212101101220212120002
41200013120233313100
53142330001034440
6115224425305132
710312320146120
oct1400730576720
9325341825502
10103203143120
113a84a535a20
12180026351a8
13996930babc
144dd0626c80
152a40559115
hex180762fdd0

103203143120 has 160 divisors (see below), whose sum is σ = 299620823040. Its totient is φ = 32117137920.

The previous prime is 103203143107. The next prime is 103203143123. The reversal of 103203143120 is 21341302301.

103203143120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103203143092 and 103203143101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103203143123) 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, 4046729 + ... + 4072151.

It is an arithmetic number, because the mean of its divisors is an integer number (1872630144).

Almost surely, 2103203143120 is an apocalyptic number.

103203143120 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 103203143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149810411520).

103203143120 is an abundant number, since it is smaller than the sum of its proper divisors (196417679920).

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

103203143120 is a wasteful number, since it uses less digits than its factorization.

103203143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26113 (or 26107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103203143120 its reverse (21341302301), we get a palindrome (124544445421).

The spelling of 103203143120 in words is "one hundred three billion, two hundred three million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 659 770 880 1232 1318 1540 2636 3080 3295 4613 5272 6160 6590 7249 9226 10544 13180 14498 18452 23065 25423 26360 28996 36245 36904 46130 50743 50846 52720 57992 72490 73808 92260 101486 101692 115984 127115 144980 177961 184520 202972 203384 253715 254230 279653 289960 355922 369040 405944 406768 507430 508460 559306 579920 711844 811888 889805 1014860 1016920 1118612 1398265 1423688 1779610 1957571 2029720 2033840 2237224 2796530 2847376 3559220 3915142 4059440 4474448 5593060 7118440 7830284 9787855 11186120 14236880 15660568 16753757 19575710 22372240 31321136 33507514 39151420 67015028 78302840 83768785 117276299 134030056 156605680 167537570 184291327 234552598 268060112 335075140 368582654 469105196 586381495 670150280 737165308 921456635 938210392 1172762990 1290039289 1340300560 1474330616 1842913270 1876420784 2345525980 2580078578 2948661232 3685826540 4691051960 5160157156 6450196445 7371653080 9382103920 10320314312 12900392890 14743306160 20640628624 25800785780 51601571560 103203143120