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103770901840 = 2452944728837
BaseRepresentation
bin110000010100100111…
…0100100110101010000
3100220211222021000002211
41200221032210311100
53200010322324330
6115401030321504
710332353053264
oct1405116446520
9326758230084
10103770901840
1140010a72501
12181407b9294
139a29b294c8
145045bba0a4
152a75308d2a
hex18293a4d50

103770901840 has 40 divisors (see below), whose sum is σ = 249586916040. Its totient is φ = 40077037056.

The previous prime is 103770901837. The next prime is 103770901873. The reversal of 103770901840 is 48109077301.

It can be written as a sum of positive squares in 4 ways, for example, as 22573259536 + 81197642304 = 150244^2 + 284952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103770901793 and 103770901802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22362099 + ... + 22366738.

It is an arithmetic number, because the mean of its divisors is an integer number (6239672901).

Almost surely, 2103770901840 is an apocalyptic number.

103770901840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103770901840 is an abundant number, since it is smaller than the sum of its proper divisors (145816014200).

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

103770901840 is a wasteful number, since it uses less digits than its factorization.

103770901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44728879 (or 44728873 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 103770901840 in words is "one hundred three billion, seven hundred seventy million, nine hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 44728837 89457674 178915348 223644185 357830696 447288370 715661392 894576740 1297136273 1789153480 2594272546 3578306960 5188545092 6485681365 10377090184 12971362730 20754180368 25942725460 51885450920 103770901840