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10111332220132 = 221121314991111839
BaseRepresentation
bin1001001100100011101001…
…0111010111110011100100
31022210122010010110000122211
42103020322113113303210
52311131002022021012
633301025404533204
72062343144531413
oct223107227276344
938718103400584
1010111332220132
113249212488900
121173788851204
13584657661a60
1426d56921d47a
15128043e926a7
hex9323a5d7ce4

10111332220132 has 144 divisors (see below), whose sum is σ = 21111326208000. Its totient is φ = 4209062457600.

The previous prime is 10111332220103. The next prime is 10111332220153. The reversal of 10111332220132 is 23102223311101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854063869 + ... + 854075707.

It is an arithmetic number, because the mean of its divisors is an integer number (146606432000).

Almost surely, 210111332220132 is an apocalyptic number.

It is an amenable number.

10111332220132 is an abundant number, since it is smaller than the sum of its proper divisors (10999993987868).

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

10111332220132 is a wasteful number, since it uses less digits than its factorization.

10111332220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10111332220132 its reverse (23102223311101), we get a palindrome (33213555531233).

The spelling of 10111332220132 in words is "ten trillion, one hundred eleven billion, three hundred thirty-two million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 149 242 286 298 484 572 596 911 1573 1639 1822 1937 3146 3278 3644 3874 6292 6556 7748 10021 11839 11843 18029 20042 21307 23678 23686 36058 40084 42614 47356 47372 72116 85228 110231 130229 130273 135739 153907 220462 234377 260458 260546 271478 307814 440924 468754 520916 521092 542956 615628 937508 1432519 1433003 1493129 1692977 1764011 1764607 2865038 2866006 2986258 3385954 3528022 3529214 5730076 5732012 5972516 6771908 7056044 7058428 10785329 16424419 18622747 19404121 19410677 21570658 22932143 32848838 37245494 38808242 38821354 43141316 45864286 65697676 74490988 77616484 77642708 91728572 118638619 140209277 213445331 213517447 237277238 252253573 280418554 426890662 427034894 474554476 504507146 560837108 853781324 854069788 1009014292 1305024809 1542302047 1607014021 2610049618 2774789303 3084604094 3214028042 5220099236 5549578606 6169208188 6428056084 11099157212 16965322517 17677154231 20891182273 33930645034 35354308462 41782364546 67861290068 70708616924 83564729092 194448696541 229803005003 388897393082 459606010006 777794786164 919212020012 2527833055033 5055666110066 10111332220132