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11022102200120 = 235113491421643
BaseRepresentation
bin1010000001100100100001…
…1111000111111100111000
31110000200222020211202222212
42200121020133013330320
52421041231130400440
635235252302234252
72215214652606464
oct240311037077470
943020866752885
1011022102200120
11356a4a138a000
1212a01a7885988
1361c4c24aa08b
142a1688b1b4a4
15141a9bc74465
hexa06487c7f38

11022102200120 has 128 divisors (see below), whose sum is σ = 27333460212480. Its totient is φ = 3999864668800.

The previous prime is 11022102200107. The next prime is 11022102200171. The reversal of 11022102200120 is 2100220122011.

It is a junction number, because it is equal to n+sod(n) for n = 11022102200095 and 11022102200104.

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, 25930019 + ... + 26351661.

It is an arithmetic number, because the mean of its divisors is an integer number (213542657910).

Almost surely, 211022102200120 is an apocalyptic number.

11022102200120 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 11022102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666730106240).

11022102200120 is an abundant number, since it is smaller than the sum of its proper divisors (16311358012360).

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

11022102200120 is a wasteful number, since it uses less digits than its factorization.

11022102200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422178 (or 422152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11022102200120 its reverse (2100220122011), we get a palindrome (13122322322131).

The spelling of 11022102200120 in words is "eleven trillion, twenty-two billion, one hundred two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 491 605 968 982 1210 1331 1964 2420 2455 2662 3928 4840 4910 5324 5401 6655 9820 10648 10802 13310 19640 21604 26620 27005 43208 53240 54010 59411 108020 118822 216040 237644 297055 421643 475288 594110 653521 843286 1188220 1307042 1686572 2108215 2376440 2614084 3267605 3373144 4216430 4638073 5228168 6535210 8432860 9276146 13070420 16865720 18552292 23190365 26140840 37104584 46380730 51018803 92761460 102037606 185522920 204075212 207026713 255094015 408150424 414053426 510188030 561206833 828106852 1020376060 1035133565 1122413666 1656213704 2040752120 2070267130 2244827332 2277293843 2806034165 4140534260 4489654664 4554587686 5612068330 8281068520 9109175372 11224136660 11386469215 18218350744 22448273320 22772938430 25050232273 45545876860 50100464546 91091753720 100200929092 125251161365 200401858184 250502322730 275552555003 501004645460 551105110006 1002009290920 1102210220012 1377762775015 2204420440024 2755525550030 5511051100060 11022102200120