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101394572240 = 24513293361889
BaseRepresentation
bin101111001101110010…
…1100110001111010000
3100200201100202221201102
41132123211212033100
53130124002302430
6114325141323532
710216436433533
oct1363345461720
9320640687642
10101394572240
113a001657945
1217798a065a8
13973b70a810
144c9c35ca1a
1529868ab345
hex179b9663d0

101394572240 has 80 divisors (see below), whose sum is σ = 262630846800. Its totient is φ = 36147019776.

The previous prime is 101394572233. The next prime is 101394572263. The reversal of 101394572240 is 42275493101.

It can be written as a sum of positive squares in 8 ways, for example, as 82228624 + 101312343616 = 9068^2 + 318296^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101394572194 and 101394572203.

It is a congruent number.

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, 1650785 + ... + 1711104.

It is an arithmetic number, because the mean of its divisors is an integer number (3282885585).

Almost surely, 2101394572240 is an apocalyptic number.

101394572240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101394572240 is an abundant number, since it is smaller than the sum of its proper divisors (161236274560).

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

101394572240 is a wasteful number, since it uses less digits than its factorization.

101394572240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361944 (or 3361938 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 101394572240 in words is "one hundred one billion, three hundred ninety-four million, five hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 3361889 6723778 13447556 16809445 26895112 33618890 43704557 53790224 67237780 87409114 97494781 134475560 174818228 194989562 218522785 268951120 349636456 389979124 437045570 487473905 699272912 779958248 874091140 974947810 1267432153 1559916496 1748182280 1949895620 2534864306 3496364560 3899791240 5069728612 6337160765 7799582480 10139457224 12674321530 20278914448 25348643060 50697286120 101394572240