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121348136 = 237131931283
BaseRepresentation
bin1110011101110…
…10000000101000
322110100010100102
413032322000220
5222031120021
620012524532
73002304440
oct716720050
9273303312
10121348136
1162552718
1234780748
131c1a9740
141218b120
15a9c000b
hex73ba028

121348136 has 128 divisors (see below), whose sum is σ = 305356800. Its totient is φ = 43856640.

The previous prime is 121348127. The next prime is 121348147. The reversal of 121348136 is 631843121.

It is a super-2 number, since 2×1213481362 = 29450740221348992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121348099 and 121348108.

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, 428651 + ... + 428933.

It is an arithmetic number, because the mean of its divisors is an integer number (2385600).

Almost surely, 2121348136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121348136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152678400).

121348136 is an abundant number, since it is smaller than the sum of its proper divisors (184008664).

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

121348136 is a wasteful number, since it uses less digits than its factorization.

121348136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 121348136 is about 11015.8129976866. The cubic root of 121348136 is about 495.0826457931.

The spelling of 121348136 in words is "one hundred twenty-one million, three hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 283 364 403 434 494 532 566 589 728 806 868 988 1064 1132 1178 1612 1729 1736 1976 1981 2264 2356 2821 3224 3458 3679 3962 4123 4712 5377 5642 6916 7358 7657 7924 8246 8773 10754 11284 13832 14716 15314 15848 16492 17546 21508 22568 25753 29432 30628 32984 35092 37639 43016 51506 53599 61256 61411 69901 70184 75278 103012 107198 114049 122822 139802 150556 166687 206024 214396 228098 245644 279604 301112 333374 428792 456196 489307 491288 559208 666748 798343 912392 978614 1166809 1333496 1596686 1957228 2166931 2333618 3193372 3914456 4333862 4667236 6386744 8667724 9334472 15168517 17335448 30337034 60674068 121348136