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121155320 = 235111359359
BaseRepresentation
bin1110011100010…
…10111011111000
322102222022212002
413032022323320
5222003432240
620004440132
73000542336
oct716127370
9272868762
10121155320
1162430870
12346a9048
131c13ca50
141213ab56
15a982d15
hex738aef8

121155320 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 39866880.

The previous prime is 121155317. The next prime is 121155361. The reversal of 121155320 is 23551121.

It is a happy number.

It is a super-2 number, since 2×1211553202 = 29357223128604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121155292 and 121155301.

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, 337301 + ... + 337659.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2121155320 is an apocalyptic number.

121155320 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 121155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

121155320 is an abundant number, since it is smaller than the sum of its proper divisors (205436680).

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

121155320 is a wasteful number, since it uses less digits than its factorization.

121155320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 121155320 is about 11007.0577358348. The cubic root of 121155320 is about 494.8202864263.

The spelling of 121155320 in words is "one hundred twenty-one million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 59 65 88 104 110 118 130 143 220 236 260 286 295 359 440 472 520 572 590 649 715 718 767 1144 1180 1298 1430 1436 1534 1795 2360 2596 2860 2872 3068 3245 3590 3835 3949 4667 5192 5720 6136 6490 7180 7670 7898 8437 9334 12980 14360 15340 15796 16874 18668 19745 21181 23335 25960 30680 31592 33748 37336 39490 42185 42362 46670 51337 67496 78980 84370 84724 93340 102674 105905 157960 168740 169448 186680 205348 211810 232991 256685 275353 337480 410696 423620 465982 513370 550706 847240 931964 1026740 1101412 1164955 1376765 1863928 2053480 2202824 2329910 2753530 3028883 4659820 5507060 6057766 9319640 11014120 12115532 15144415 24231064 30288830 60577660 121155320