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101042540144 = 24721317583171
BaseRepresentation
bin101111000011010011…
…0101100111001110000
3100122210211100212110122
41132012212230321300
53123413342241034
6114230204145412
710204633264100
oct1360646547160
9318724325418
10101042540144
1139940974a27
12176bab38268
1396b37c26c0
144c676c3200
152965a2062e
hex17869ace70

101042540144 has 120 divisors (see below), whose sum is σ = 259677160848. Its totient is φ = 37621463040.

The previous prime is 101042540143. The next prime is 101042540147. The reversal of 101042540144 is 441045240101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042540141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118322 + ... + 464849.

Almost surely, 2101042540144 is an apocalyptic number.

101042540144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101042540144 is an abundant number, since it is smaller than the sum of its proper divisors (158634620704).

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

101042540144 is a wasteful number, since it uses less digits than its factorization.

101042540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583223 (or 583210 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 101042540144 its reverse (441045240101), we get a palindrome (542087780245).

The spelling of 101042540144 in words is "one hundred one billion, forty-two million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 238 272 364 392 442 476 637 728 784 833 884 952 1274 1456 1547 1666 1768 1904 2548 3094 3332 3536 5096 6188 6664 10192 10829 12376 13328 21658 24752 43316 86632 173264 583171 1166342 2332684 4082197 4665368 7581223 8164394 9330736 9913907 15162446 16328788 19827814 28575379 30324892 32657576 39655628 53068561 57150758 60649784 65315152 69397349 79311256 106137122 114301516 121299568 128880791 138794698 158622512 212274244 228603032 257761582 277589396 371479927 424548488 457206064 485781443 515523164 555178792 742959854 849096976 902165537 971562886 1031046328 1110357584 1485919708 1804331074 1943125772 2062092656 2971839416 3608662148 3886251544 5943678832 6315158759 7217324296 7772503088 12630317518 14434648592 25260635036 50521270072 101042540144