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101222131032 = 233311293145399
BaseRepresentation
bin101111001000101001…
…1110010010101011000
3100200021100022000212000
41132101103302111120
53124300331143112
6114300101321000
710212243626511
oct1362123622530
9320240260760
10101222131032
1139a23288250
121774b106160
139711a822b9
144c834b1a08
1529766977dc
hex17914f2558

101222131032 has 128 divisors (see below), whose sum is σ = 307782720000. Its totient is φ = 30568475520.

The previous prime is 101222130959. The next prime is 101222131091. The reversal of 101222131032 is 230131222101.

Adding to 101222131032 its reverse (230131222101), we get a palindrome (331353353133).

101222131032 is a `hidden beast` number, since 101 + 2 + 221 + 310 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101222130996 and 101222131014.

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, 623469 + ... + 768867.

It is an arithmetic number, because the mean of its divisors is an integer number (2404552500).

Almost surely, 2101222131032 is an apocalyptic number.

101222131032 is a gapful number since it is divisible by the number (12) 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 101222131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153891360000).

101222131032 is an abundant number, since it is smaller than the sum of its proper divisors (206560588968).

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

101222131032 is a wasteful number, since it uses less digits than its factorization.

101222131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145718 (or 145708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 101222131032 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 293 297 396 586 594 792 879 1172 1188 1758 2344 2376 2637 3223 3516 5274 6446 7032 7911 9669 10548 12892 15822 19338 21096 25784 29007 31644 38676 58014 63288 77352 87021 116028 145399 174042 232056 290798 348084 436197 581596 696168 872394 1163192 1308591 1599389 1744788 2617182 3198778 3489576 3925773 4798167 5234364 6397556 7851546 9596334 10468728 12795112 14394501 15703092 19192668 28789002 31406184 38385336 42601907 43183503 57578004 85203814 86367006 115156008 127805721 170407628 172734012 255611442 340815256 345468024 383417163 468620977 511222884 766834326 937241954 1022445768 1150251489 1405862931 1533668652 1874483908 2300502978 2811725862 3067337304 3748967816 4217588793 4601005956 5623451724 8435177586 9202011912 11246903448 12652766379 16870355172 25305532758 33740710344 50611065516 101222131032