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1102314332240 = 2451167121315413
BaseRepresentation
bin10000000010100111000…
…011011110000001010000
310220101021011220000201122
4100002213003132001100
5121030014432112430
62202221325421412
7142432243140602
oct20024703360120
93811234800648
101102314332240
11395541781070
12159776a0a868
137cc423cab34
143b4d09c7172
151da18c53ee5
hex100a70de050

1102314332240 has 160 divisors (see below), whose sum is σ = 2840122970496. Its totient is φ = 394507745280.

The previous prime is 1102314332209. The next prime is 1102314332263. The reversal of 1102314332240 is 422334132011.

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, 71510774 + ... + 71526186.

Almost surely, 21102314332240 is an apocalyptic number.

1102314332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102314332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420061485248).

1102314332240 is an abundant number, since it is smaller than the sum of its proper divisors (1737808638256).

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

1102314332240 is a wasteful number, since it uses less digits than its factorization.

1102314332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16717 (or 16711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1102314332240 its reverse (422334132011), we get a palindrome (1524648464251).

The spelling of 1102314332240 in words is "one trillion, one hundred two billion, three hundred fourteen million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1213 1340 1474 2426 2680 2948 3685 4852 5360 5896 6065 7370 9704 11792 12130 13343 14740 15413 19408 24260 26686 29480 30826 48520 53372 58960 61652 66715 77065 81271 97040 106744 123304 133430 154130 162542 169543 213488 246608 266860 308260 325084 339086 406355 533720 616520 650168 678172 812710 847715 893981 1032671 1067440 1233040 1300336 1356344 1625420 1695430 1787962 2065342 2712688 3250840 3390860 3575924 4130684 4469905 5163355 6501680 6781720 7151848 8261368 8939810 10326710 11359381 13563440 14303696 16522736 17879620 18695969 20653420 22718762 35759240 37391938 41306840 45437524 56796905 71518480 74783876 82613680 90875048 93479845 113593810 149567752 181750096 186959690 205655659 227187620 299135504 373919380 411311318 454375240 747838760 822622636 908750480 1028278295 1252629923 1495677520 1645245272 2056556590 2505259846 3290490544 4113113180 5010519692 6263149615 8226226360 10021039384 12526299230 13778929153 16452452720 20042078768 25052598460 27557858306 50105196920 55115716612 68894645765 100210393840 110231433224 137789291530 220462866448 275578583060 551157166120 1102314332240