Search a number
-
+
10140443516100 = 2235235299578203
BaseRepresentation
bin1001001110010000000110…
…0010001001110011000100
31022220102020221111002021210
42103210001202021303010
52312120112020003400
633322242213011420
72064423433466412
oct223440142116304
938812227432253
1010140443516100
11325a5a1005397
121179352023b70
13587316886b81
14270b2b60c2b2
15128b99a71950
hex93901889cc4

10140443516100 has 72 divisors (see below), whose sum is σ = 29348000184160. Its totient is φ = 2703351732480.

The previous prime is 10140443516087. The next prime is 10140443516113. The reversal of 10140443516100 is 161534404101.

It is an interprime number because it is at equal distance from previous prime (10140443516087) and next prime (10140443516113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3730402 + ... + 5847801.

Almost surely, 210140443516100 is an apocalyptic number.

10140443516100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140443516100 is an abundant number, since it is smaller than the sum of its proper divisors (19207556668060).

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

10140443516100 is a wasteful number, since it uses less digits than its factorization.

10140443516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581749 (or 9581742 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10140443516100 in words is "ten trillion, one hundred forty billion, four hundred forty-three million, five hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3529 7058 10587 14116 17645 21174 35290 42348 52935 70580 88225 105870 176450 211740 264675 352900 529350 1058700 9578203 19156406 28734609 38312812 47891015 57469218 95782030 114938436 143673045 191564060 239455075 287346090 478910150 574692180 718365225 957820300 1436730450 2873460900 33801478387 67602956774 101404435161 135205913548 169007391935 202808870322 338014783870 405617740644 507022175805 676029567740 845036959675 1014044351610 1690073919350 2028088703220 2535110879025 3380147838700 5070221758050 10140443516100