Search a number
-
+
10121020112022 = 2329971369343793
BaseRepresentation
bin1001001101000111101111…
…0011101111110010010110
31022211120010021220220221120
42103101323303233302112
52311310322122041042
633305311002024410
72063135212334241
oct223217363576226
938746107826846
1010121020112022
113252333aa9426
1211756311a8106
1358553c7a2171
1426dc07b3a258
1512840e74ddec
hex9347bcefc96

10121020112022 has 64 divisors (see below), whose sum is σ = 21157946470080. Its totient is φ = 3223449944064.

The previous prime is 10121020111999. The next prime is 10121020112057. The reversal of 10121020112022 is 22021102012101.

It is a junction number, because it is equal to n+sod(n) for n = 10121020111992 and 10121020112010.

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, 231088558 + ... + 231132350.

It is an arithmetic number, because the mean of its divisors is an integer number (330592913595).

Almost surely, 210121020112022 is an apocalyptic number.

10121020112022 is an abundant number, since it is smaller than the sum of its proper divisors (11036926358058).

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

10121020112022 is a wasteful number, since it uses less digits than its factorization.

10121020112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57617.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121020112022 its reverse (22021102012101), we get a palindrome (32142122124123).

The spelling of 10121020112022 in words is "ten trillion, one hundred twenty-one billion, twenty million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 29 58 87 97 174 194 291 582 2813 5626 8439 13693 16878 27386 41079 43793 82158 87586 131379 262758 397097 794194 1191291 1269997 1328221 2382582 2539994 2656442 3809991 3984663 4247921 7619982 7969326 8495842 12743763 25487526 38518409 77036818 115555227 123189709 231110454 246379418 369569127 599657549 739138254 1199315098 1798972647 3597945294 17390068921 34780137842 52170206763 58166782253 104340413526 116333564506 174500346759 349000693518 1686836685337 3373673370674 5060510056011 10121020112022