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10401331121223 = 3729127138197381
BaseRepresentation
bin1001011101011011111110…
…1001011000110001000111
31100211100122122112120212020
42113112333221120301013
52330403411231334343
634042145555454223
72122320452524230
oct227267751306107
940740578476766
1010401331121223
1133501a828a4a9
1211bba208b7373
135a5ac24a9c53
1427d5d9dd4087
15130868627b83
hex975bfa58c47

10401331121223 has 64 divisors (see below), whose sum is σ = 16537426821120. Its totient is φ = 5689297958400.

The previous prime is 10401331121221. The next prime is 10401331121297. The reversal of 10401331121223 is 32212113310401.

It is not a de Polignac number, because 10401331121223 - 21 = 10401331121221 is a prime.

It is a super-2 number, since 2×104013311212232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10401331121193 and 10401331121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401331121221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106761993 + ... + 106859373.

It is an arithmetic number, because the mean of its divisors is an integer number (258397294080).

Almost surely, 210401331121223 is an apocalyptic number.

10401331121223 is a deficient number, since it is larger than the sum of its proper divisors (6136095699897).

10401331121223 is a wasteful number, since it uses less digits than its factorization.

10401331121223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98928.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10401331121223 its reverse (32212113310401), we get a palindrome (42613444431624).

The spelling of 10401331121223 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 21 29 87 127 203 381 609 889 1381 2667 3683 4143 9667 11049 25781 29001 40049 77343 97381 120147 175387 280343 292143 526161 681667 841029 1227709 2045001 2824049 3683127 5086223 8472147 12367387 15258669 19768343 35603561 37102161 59305029 86571709 106810683 134483161 259715127 358654223 403449483 941382127 1075962669 2510579561 2824146381 3900011669 7531738683 11700035007 17079361447 27300081683 51238084341 81900245049 119555530129 358666590387 495301481963 1485904445889 3467110373741 10401331121223