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101140240400 = 2452318156471
BaseRepresentation
bin101111000110001101…
…1011001100000010000
3100200001122012120000122
41132030123121200100
53124113400143100
6114244014205412
710210230600353
oct1361433314020
9320048176018
10101140240400
1139991035641
12177277b3868
1396cab0c4c4
144c7667629a
15296e3bd985
hex178c6d9810

101140240400 has 60 divisors (see below), whose sum is σ = 250827826944. Its totient is φ = 39151056000.

The previous prime is 101140240387. The next prime is 101140240403. The reversal of 101140240400 is 4042041101.

It is not an unprimeable number, because it can be changed into a prime (101140240403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065836 + ... + 4090635.

Almost surely, 2101140240400 is an apocalyptic number.

101140240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101140240400 is an abundant number, since it is smaller than the sum of its proper divisors (149687586544).

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

101140240400 is a wasteful number, since it uses less digits than its factorization.

101140240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156520 (or 8156509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101140240400 its reverse (4042041101), we get a palindrome (105182281501).

The spelling of 101140240400 in words is "one hundred one billion, one hundred forty million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 8156471 16312942 32625884 40782355 65251768 81564710 130503536 163129420 203911775 252850601 326258840 407823550 505701202 652517680 815647100 1011402404 1264253005 1631294200 2022804808 2528506010 3262588400 4045609616 5057012020 6321265025 10114024040 12642530050 20228048080 25285060100 50570120200 101140240400