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101222164524 = 223131761761861
BaseRepresentation
bin101111001000101001…
…1111010100000101100
3100200021100100201210110
41132101103322200230
53124300333231044
6114300102140020
710212244126245
oct1362123724054
9320240321713
10101222164524
1139a23300428
121774b121610
139711a94610
144c834bdccc
1529766a26b9
hex17914fa82c

101222164524 has 96 divisors (see below), whose sum is σ = 269755932096. Its totient is φ = 29265223680.

The previous prime is 101222164487. The next prime is 101222164531. The reversal of 101222164524 is 425461222101.

It is a junction number, because it is equal to n+sod(n) for n = 101222164491 and 101222164500.

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, 1605354 + ... + 1667214.

It is an arithmetic number, because the mean of its divisors is an integer number (2809957626).

Almost surely, 2101222164524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222164524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134877966048).

101222164524 is an abundant number, since it is smaller than the sum of its proper divisors (168533767572).

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

101222164524 is a wasteful number, since it uses less digits than its factorization.

101222164524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62515 (or 62513 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 101222164524 its reverse (425461222101), we get a palindrome (526683386625).

The spelling of 101222164524 in words is "one hundred one billion, two hundred twenty-two million, one hundred sixty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 617 663 884 1234 1326 1851 2468 2652 3702 7404 8021 10489 16042 20978 24063 31467 32084 41956 48126 61861 62934 96252 123722 125868 136357 185583 247444 272714 371166 409071 545428 742332 804193 818142 1051637 1608386 1636284 2103274 2412579 3154911 3216772 4206548 4825158 6309822 9650316 12619644 13671281 27342562 38168237 41013843 54685124 76336474 82027686 114504711 152672948 164055372 229009422 458018844 496187081 648860029 992374162 1297720058 1488561243 1946580087 1984748324 2595440116 2977122486 3893160174 5954244972 7786320348 8435180377 16870360754 25305541131 33740721508 50611082262 101222164524