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103402103521440 = 25352050191050737
BaseRepresentation
bin10111100000101100101101…
…101001100100000010100000
3111120010010220101022010200010
4113200230231221210002200
5102023120002000141230
61003530134240124520
730531361343012043
oct2740545551440240
9446103811263603
10103402103521440
112aa46649829019
12b72002b306740
134590a13035b09
141b7698d3d2c5a
15be4ad541c9b0
hex5e0b2da640a0

103402103521440 has 96 divisors (see below), whose sum is σ = 325718524797120. Its totient is φ = 27573733535744.

The previous prime is 103402103521403. The next prime is 103402103521477. The reversal of 103402103521440 is 44125301204301.

It is an interprime number because it is at equal distance from previous prime (103402103521403) and next prime (103402103521477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103402103521398 and 103402103521407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97883752 + ... + 98934488.

It is an arithmetic number, because the mean of its divisors is an integer number (3392901299970).

Almost surely, 2103402103521440 is an apocalyptic number.

103402103521440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103402103521440 is an abundant number, since it is smaller than the sum of its proper divisors (222316421275680).

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

103402103521440 is a wasteful number, since it uses less digits than its factorization.

103402103521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255774 (or 1255766 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 103402103521440 its reverse (44125301204301), we get a palindrome (147527404725741).

The spelling of 103402103521440 in words is "one hundred three trillion, four hundred two billion, one hundred three million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 205019 410038 615057 820076 1025095 1050737 1230114 1640152 2050190 2101474 2460228 3075285 3152211 3280304 4100380 4202948 4920456 5253685 6150570 6304422 6560608 8200760 8405896 9840912 10507370 12301140 12608844 15761055 16401520 16811792 19681824 21014740 24602280 25217688 31522110 32803040 33623584 42029480 49204560 50435376 63044220 84058960 98409120 100870752 126088440 168117920 252176880 504353760 215421049003 430842098006 646263147009 861684196012 1077105245015 1292526294018 1723368392024 2154210490030 2585052588036 3231315735045 3446736784048 4308420980060 5170105176072 6462631470090 6893473568096 8616841960120 10340210352144 12925262940180 17233683920240 20680420704288 25850525880360 34467367840480 51701051760720 103402103521440