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101222130336 = 25319127743457
BaseRepresentation
bin101111001000101001…
…1110010001010100000
3100200021100021222220020
41132101103302022200
53124300331132321
6114300101313440
710212243624465
oct1362123621240
9320240258806
10101222130336
1139a23287778
121774b105880
139711a81ba2
144c834b166c
1529766974c6
hex17914f22a0

101222130336 has 96 divisors (see below), whose sum is σ = 279918192960. Its totient is φ = 31939117056.

The previous prime is 101222130329. The next prime is 101222130367. The reversal of 101222130336 is 633031222101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2307520 + ... + 2350976.

It is an arithmetic number, because the mean of its divisors is an integer number (2915814510).

Almost surely, 2101222130336 is an apocalyptic number.

101222130336 is a gapful number since it is divisible by the number (16) 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 101222130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139959096480).

101222130336 is an abundant number, since it is smaller than the sum of its proper divisors (178696062624).

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

101222130336 is a wasteful number, since it uses less digits than its factorization.

101222130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44766 (or 44758 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101222130336 its reverse (633031222101), we get a palindrome (734253352437).

The spelling of 101222130336 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1277 1824 2554 3831 5108 7662 10216 15324 20432 24263 30648 40864 43457 48526 61296 72789 86914 97052 122592 130371 145578 173828 194104 260742 291156 347656 388208 521484 582312 695312 776416 825683 1042968 1164624 1390624 1651366 2085936 2329248 2477049 3302732 4171872 4954098 6605464 9908196 13210928 19816392 26421856 39632784 55494589 79265568 110989178 166483767 221978356 332967534 443956712 665935068 887913424 1054397191 1331870136 1775826848 2108794382 2663740272 3163191573 4217588764 5327480544 6326383146 8435177528 12652766292 16870355056 25305532584 33740710112 50611065168 101222130336