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1012221011032 = 2371147251139291
BaseRepresentation
bin11101011101011010001…
…00101110010001011000
310120202201102102002222021
432232231010232101120
5113041012034323112
62053001413104224
7133062531426550
oct16565504562130
93522642362867
101012221011032
1136030a410410
12144212928074
13745b516300a
1436dc5556160
151b4e45e1907
hexebad12e458

1012221011032 has 128 divisors (see below), whose sum is σ = 2426221486080. Its totient is φ = 384440400000.

The previous prime is 1012221011027. The next prime is 1012221011041. The reversal of 1012221011032 is 2301101222101.

1012221011032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012221010997 and 1012221011015.

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, 7197307 + ... + 7336597.

It is an arithmetic number, because the mean of its divisors is an integer number (18954855360).

Almost surely, 21012221011032 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 1012221011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213110743040).

1012221011032 is an abundant number, since it is smaller than the sum of its proper divisors (1414000475048).

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

1012221011032 is a wasteful number, since it uses less digits than its factorization.

1012221011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139613 (or 139609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1012221011032 its reverse (2301101222101), we get a palindrome (3313322233133).

The spelling of 1012221011032 in words is "one trillion, twelve billion, two hundred twenty-one million, eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 251 308 329 376 502 517 616 658 1004 1034 1316 1757 2008 2068 2632 2761 3514 3619 4136 5522 7028 7238 11044 11797 14056 14476 19327 22088 23594 28952 38654 47188 77308 82579 94376 129767 139291 154616 165158 259534 278582 330316 519068 557164 660632 908369 975037 1038136 1114328 1532201 1816738 1950074 3064402 3633476 3900148 6128804 6546677 7266952 7800296 10725407 12257608 13093354 21450814 26186708 34962041 42901628 45826739 52373416 69924082 72013447 85803256 91653478 139848164 144026894 183306956 244734287 279696328 288053788 366613912 384582451 489468574 504094129 576107576 769164902 978937148 1008188258 1538329804 1643215927 1957874296 2016376516 2692077157 3076659608 3286431854 4032753032 5384154314 6572863708 10768308628 11502511489 13145727416 18075375197 21536617256 23005022978 36150750394 46010045956 72301500788 92020091912 126527626379 144603001576 253055252758 506110505516 1012221011032