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1013020322223 = 372131738538093
BaseRepresentation
bin11101011110111001011…
…01110110100110101111
310120211210010110022210110
432233130231312212233
5113044131200302343
62053213005111103
7133121405444100
oct16573455664657
93524703408713
101013020322223
1136068a620778
121443b6558493
13746b1934510
143705d7823a7
151b53e87e833
hexebdcb769af

1013020322223 has 96 divisors (see below), whose sum is σ = 1792298321856. Its totient is φ = 502715953152.

The previous prime is 1013020322183. The next prime is 1013020322243. The reversal of 1013020322223 is 3222230203101.

It is a happy number.

It is not a de Polignac number, because 1013020322223 - 212 = 1013020318127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1013020322223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013020322243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125168365 + ... + 125176457.

It is an arithmetic number, because the mean of its divisors is an integer number (18669774186).

Almost surely, 21013020322223 is an apocalyptic number.

1013020322223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1013020322223 is a deficient number, since it is larger than the sum of its proper divisors (779277999633).

1013020322223 is a wasteful number, since it uses less digits than its factorization.

1013020322223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11993 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1013020322223 its reverse (3222230203101), we get a palindrome (4235250525324).

The spelling of 1013020322223 in words is "one trillion, thirteen billion, twenty million, three hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 637 663 833 1547 1911 2499 3853 4641 8093 10829 11559 24279 26971 32487 50089 56651 65501 80913 105209 137581 150267 169953 188797 196503 315627 350623 396557 412743 458507 566391 736463 851513 963067 1051869 1189671 1375521 1788553 2209389 2454361 2554539 2889201 3209549 5155241 5365659 5960591 6741469 7363083 9628647 12519871 15465723 17881773 20224407 31182329 37559613 41724137 87639097 93546987 125172411 218276303 262917291 405370277 530099593 654828909 1216110831 1527934121 1590298779 2837591939 3710697151 4583802363 6891294709 8512775817 11132091453 19863143573 20673884127 25974880057 48239062963 59589430719 77924640171 144717188889 337673440741 1013020322223