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1001000122110 = 232529675724253
BaseRepresentation
bin11101001000100000100…
…00011011011011111110
310112200202102022220002200
432210100100123123332
5112400022012401420
62043504134332330
7132214500435642
oct16442020333376
93480672286080
101001000122110
1135658152249a
12142000aba0a6
1373517549481
143663d1c6c22
151b08946db90
hexe91041b6fe

1001000122110 has 96 divisors (see below), whose sum is σ = 2732529889440. Its totient is φ = 253882024704.

The previous prime is 1001000122063. The next prime is 1001000122127. The reversal of 1001000122110 is 112210001001.

It is a happy number.

1001000122110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001000122092 and 1001000122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2687257 + ... + 3036996.

It is an arithmetic number, because the mean of its divisors is an integer number (28463853015).

Almost surely, 21001000122110 is an apocalyptic number.

1001000122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001000122110 is an abundant number, since it is smaller than the sum of its proper divisors (1731529767330).

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

1001000122110 is a wasteful number, since it uses less digits than its factorization.

1001000122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724362 (or 5724359 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001000122110 its reverse (112210001001), we get a palindrome (1113210123111).

The spelling of 1001000122110 in words is "one trillion, one billion, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 1005 1206 1305 1943 2010 2610 3015 3886 5829 6030 9715 11658 17487 19430 29145 34974 58290 87435 174870 5724253 11448506 17172759 28621265 34345518 51518277 57242530 85863795 103036554 166003337 171727590 257591385 332006674 383524951 498010011 515182770 767049902 830016685 996020022 1150574853 1494030033 1660033370 1917624755 2301149706 2490050055 2988060066 3451724559 3835249510 4980100110 5752874265 6903449118 7470150165 11122223579 11505748530 14940300330 17258622795 22244447158 33366670737 34517245590 55611117895 66733341474 100100012211 111222235790 166833353685 200200024422 333666707370 500500061055 1001000122110