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101420223324 = 22372475962201
BaseRepresentation
bin101111001110100011…
…1011100101101011100
3100200210011001011101120
41132131013130231130
53130202034121244
6114331455210540
710220200450200
oct1363507345534
9320704034346
10101420223324
113a015087992
12177a5516a50
139743b1c184
144ca1918b00
152988c76819
hex179d1dcb5c

101420223324 has 144 divisors (see below), whose sum is σ = 285910248960. Its totient is φ = 27879532800.

The previous prime is 101420223323. The next prime is 101420223353. The reversal of 101420223324 is 423322024101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101420223294 and 101420223303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101420223323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599424 + ... + 1661624.

It is an arithmetic number, because the mean of its divisors is an integer number (1985487840).

Almost surely, 2101420223324 is an apocalyptic number.

101420223324 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 101420223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142955124480).

101420223324 is an abundant number, since it is smaller than the sum of its proper divisors (184490025636).

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

101420223324 is a wasteful number, since it uses less digits than its factorization.

101420223324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62328 (or 62319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101420223324 its reverse (423322024101), we get a palindrome (524742247425).

The spelling of 101420223324 in words is "one hundred one billion, four hundred twenty million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 59 84 94 98 118 141 147 177 188 196 236 282 294 329 354 413 564 588 658 708 826 987 1239 1316 1652 1974 2303 2478 2773 2891 3948 4606 4956 5546 5782 6909 8319 8673 9212 11092 11564 13818 16638 17346 19411 27636 33276 34692 38822 58233 62201 77644 116466 124402 135877 186603 232932 248804 271754 373206 407631 435407 543508 746412 815262 870814 1306221 1630524 1741628 2612442 2923447 3047849 3669859 5224884 5846894 6095698 7339718 8770341 9143547 11009577 11693788 12191396 14679436 17540682 18287094 20464129 22019154 25689013 35081364 36574188 40928258 44038308 51378026 61392387 77067039 81856516 102756052 122784774 143248903 154134078 172483373 179823091 245569548 286497806 308268156 344966746 359646182 429746709 517450119 539469273 572995612 689933492 719292364 859493418 1034900238 1078938546 1207383611 1718986836 2069800476 2157877092 2414767222 3622150833 4829534444 7244301666 8451685277 14488603332 16903370554 25355055831 33806741108 50710111662 101420223324