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101341014320 = 24571313920469
BaseRepresentation
bin101111001100001100…
…1010010100100110000
3100200120121222221001202
41132120121102210300
53130021244424240
6114315545350332
710215216260150
oct1363031224460
9320517887052
10101341014320
1139a843a6aa7
1217782a983a8
1397305a7b40
144c951ba760
152981d2c315
hex1798652930

101341014320 has 80 divisors (see below), whose sum is σ = 289991231040. Its totient is φ = 32072758272.

The previous prime is 101341014293. The next prime is 101341014323. The reversal of 101341014320 is 23410143101.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101341014292 and 101341014301.

It is not an unprimeable number, because it can be changed into a prime (101341014323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6952955 + ... + 6967514.

It is an arithmetic number, because the mean of its divisors is an integer number (3624890388).

Almost surely, 2101341014320 is an apocalyptic number.

101341014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101341014320 is an abundant number, since it is smaller than the sum of its proper divisors (188650216720).

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

101341014320 is a wasteful number, since it uses less digits than its factorization.

101341014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13920502 (or 13920496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101341014320 its reverse (23410143101), we get a palindrome (124751157421).

The spelling of 101341014320 in words is "one hundred one billion, three hundred forty-one million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 13920469 27840938 55681876 69602345 97443283 111363752 139204690 180966097 194886566 222727504 278409380 361932194 389773132 487216415 556818760 723864388 779546264 904830485 974432830 1113637520 1266762679 1447728776 1559092528 1809660970 1948865660 2533525358 2895457552 3619321940 3897731320 5067050716 6333813395 7238643880 7795462640 10134101432 12667626790 14477287760 20268202864 25335253580 50670507160 101341014320