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101420404344 = 23337157142697
BaseRepresentation
bin101111001110100100…
…0001000111001111000
3100200210011101100201000
41132131020020321320
53130202110414334
6114331503125000
710220202133020
oct1363510107170
9320704340630
10101420404344
113a0151a0996
12177a55a3760
139743b8369c
144ca1964a80
152988cb0299
hex179d208e78

101420404344 has 128 divisors (see below), whose sum is σ = 322182028800. Its totient is φ = 28958135040.

The previous prime is 101420404307. The next prime is 101420404381. The reversal of 101420404344 is 443404024101.

101420404344 is a `hidden beast` number, since 10 + 14 + 204 + 0 + 434 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101420404307) and next prime (101420404381).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354004 + ... + 2396700.

It is an arithmetic number, because the mean of its divisors is an integer number (2517047100).

Almost surely, 2101420404344 is an apocalyptic number.

101420404344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101420404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161091014400).

101420404344 is an abundant number, since it is smaller than the sum of its proper divisors (220761624456).

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

101420404344 is a wasteful number, since it uses less digits than its factorization.

101420404344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44290 (or 44280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 101420404344 its reverse (443404024101), we get a palindrome (544824428445).

The spelling of 101420404344 in words is "one hundred one billion, four hundred twenty million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1571 3142 4713 6284 9426 10997 12568 14139 18852 21994 28278 32991 37704 42417 42697 43988 56556 65982 84834 85394 87976 98973 113112 128091 131964 169668 170788 197946 256182 263928 296919 298879 339336 341576 384273 395892 512364 593838 597758 768546 791784 896637 1024728 1152819 1187676 1195516 1537092 1793274 2305638 2375352 2391032 2689911 3074184 3586548 4611276 5379822 7173096 8069733 9222552 10759644 16139466 21519288 32278932 64557864 67076987 134153974 201230961 268307948 402461922 469538909 536615896 603692883 804923844 939077818 1207385766 1408616727 1609847688 1811078649 1878155636 2414771532 2817233454 3622157298 3756311272 4225850181 4829543064 5634466908 7244314596 8451700362 11268933816 12677550543 14488629192 16903400724 25355101086 33806801448 50710202172 101420404344