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1121330013102 = 2331317758312391
BaseRepresentation
bin10000010100010100011…
…110100010001110101110
310222012100102020200222000
4100110110132202032232
5121332440440404402
62215044253433130
7144004413563445
oct20242436421656
93865312220860
101121330013102
113a260a6175a2
121613a319b7a6
1381982b98ac0
143c3b6283d5c
151e27d389c1c
hex105147a23ae

1121330013102 has 128 divisors (see below), whose sum is σ = 2841983262720. Its totient is φ = 324660026880.

The previous prime is 1121330013079. The next prime is 1121330013149. The reversal of 1121330013102 is 2013100331211.

1121330013102 is a `hidden beast` number, since 1 + 1 + 21 + 330 + 0 + 1 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90489327 + ... + 90501717.

It is an arithmetic number, because the mean of its divisors is an integer number (22202994240).

Almost surely, 21121330013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121330013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420991631360).

1121330013102 is an abundant number, since it is smaller than the sum of its proper divisors (1720653249618).

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

1121330013102 is a wasteful number, since it uses less digits than its factorization.

1121330013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20015 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121330013102 its reverse (2013100331211), we get a palindrome (3134430344313).

The spelling of 1121330013102 in words is "one trillion, one hundred twenty-one billion, three hundred thirty million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 7583 11934 12391 15166 22749 24782 37173 45498 68247 74346 98579 111519 128911 136494 161083 197158 204741 210647 223038 257822 295737 322166 334557 386733 409482 421294 483249 591474 631941 669114 773466 887211 966498 1160199 1263882 1449747 1675843 1774422 1895823 2320398 2661633 2738411 2899494 3351686 3480597 3791646 4349241 5027529 5323266 5476822 5687469 6961194 8215233 8698482 10055058 11374938 15082587 16430466 24645699 30165174 45247761 49291398 73937097 90495522 93960953 147874194 187921906 281882859 563765718 845648577 1221492389 1597336201 1691297154 2442984778 2536945731 3194672402 3664477167 4792008603 5073891462 7328954334 9584017206 10993431501 14376025809 20765370613 21986863002 28752051618 32980294503 41530741226 43128077427 62296111839 65960589006 86256154854 124592223678 186888335517 373776671034 560665006551 1121330013102