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101042001040 = 24517233230243
BaseRepresentation
bin101111000011010010…
…0101001010010010000
3100122210210100110221211
41132012210221102100
53123413223013130
6114230144425504
710204625560261
oct1360644512220
9318723313854
10101042001040
1139940636992
12176ba918294
1396b36641c6
144c675c2968
152965965a2a
hex1786929490

101042001040 has 80 divisors (see below), whose sum is σ = 259556565888. Its totient is φ = 36385445888.

The previous prime is 101042001019. The next prime is 101042001077. The reversal of 101042001040 is 40100240101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1010420010402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101042001040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583842 + ... + 1646401.

Almost surely, 2101042001040 is an apocalyptic number.

101042001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101042001040 is an abundant number, since it is smaller than the sum of its proper divisors (158514564848).

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

101042001040 is a wasteful number, since it uses less digits than its factorization.

101042001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230296 (or 3230290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101042001040 its reverse (40100240101), we get a palindrome (141142241141).

The spelling of 101042001040 in words is "one hundred one billion, forty-two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 3230243 6460486 12920972 16151215 25841944 32302430 51683888 54914131 64604860 74295589 109828262 129209720 148591178 219656524 258419440 274570655 297182356 371477945 439313048 549141310 594364712 742955890 878626096 1098282620 1188729424 1263025013 1485911780 2196565240 2526050026 2971823560 4393130480 5052100052 5943647120 6315125065 10104200104 12630250130 20208400208 25260500260 50521000520 101042001040