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103785357156 = 223133899191861
BaseRepresentation
bin110000010101000010…
…1101101111101100100
3100220212222110102001220
41200222011231331210
53200023022412111
6115402304220340
710332616660125
oct1405205557544
9326788412056
10103785357156
1140019145a48
121814560a6b0
139a2cb1ac50
145047aa004c
152a76711e06
hex182a16df64

103785357156 has 96 divisors (see below), whose sum is σ = 261889555200. Its totient is φ = 31800107520.

The previous prime is 103785357139. The next prime is 103785357167. The reversal of 103785357156 is 651753587301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103785357099 and 103785357108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55767666 + ... + 55769526.

It is an arithmetic number, because the mean of its divisors is an integer number (2728016200).

Almost surely, 2103785357156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103785357156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944777600).

103785357156 is an abundant number, since it is smaller than the sum of its proper divisors (158104198044).

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

103785357156 is a wasteful number, since it uses less digits than its factorization.

103785357156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 103785357156 in words is "one hundred three billion, seven hundred eighty-five million, three hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 389 778 919 1167 1556 1838 1861 2334 2757 3676 3722 4668 5057 5514 5583 7444 10114 11028 11166 11947 15171 20228 22332 23894 24193 30342 35841 47788 48386 60684 71682 72579 96772 143364 145158 290316 357491 714982 723929 1072473 1429964 1447858 1710259 2144946 2171787 2895716 3420518 4289892 4343574 4647383 5130777 6841036 8687148 9294766 9411077 10261554 13942149 18589532 18822154 20523108 22233367 27884298 28233231 37644308 44466734 55768596 56466462 66700101 88933468 112932924 133400202 266800404 665290751 1330581502 1995872253 2661163004 3991744506 7983489012 8648779763 17297559526 25946339289 34595119052 51892678578 103785357156