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121306152 = 2331117151179
BaseRepresentation
bin1110011101011…
…11110000101000
322110020222202110
413032233300220
5222023244102
620012002320
73002041152
oct716576050
9273228673
10121306152
1162524120
12347603a0
131c1935b6
1412179ad2
15a9b286c
hex73afc28

121306152 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 34176000.

The previous prime is 121306147. The next prime is 121306153. The reversal of 121306152 is 251603121.

It is not an unprimeable number, because it can be changed into a prime (121306153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677599 + ... + 677777.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2121306152 is an apocalyptic number.

121306152 is a gapful number since it is divisible by the number (12) 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 121306152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

121306152 is an abundant number, since it is smaller than the sum of its proper divisors (233279448).

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

121306152 is a wasteful number, since it uses less digits than its factorization.

121306152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 121306152 is about 11013.9072086158. The cubic root of 121306152 is about 495.0255430141.

Adding to 121306152 its reverse (251603121), we get a palindrome (372909273).

The spelling of 121306152 in words is "one hundred twenty-one million, three hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 151 179 187 204 264 302 358 374 408 453 537 561 604 716 748 906 1074 1122 1208 1432 1496 1661 1812 1969 2148 2244 2567 3043 3322 3624 3938 4296 4488 4983 5134 5907 6086 6644 7701 7876 9129 9966 10268 11814 12172 13288 15402 15752 18258 19932 20536 23628 24344 27029 28237 30804 33473 36516 39864 47256 54058 56474 61608 66946 73032 81087 84711 100419 108116 112948 133892 162174 169422 200838 216232 225896 267784 297319 324348 338844 401676 459493 594638 648696 677688 803352 891957 918986 1189276 1378479 1783914 1837972 2378552 2756958 3567828 3675944 5054423 5513916 7135656 10108846 11027832 15163269 20217692 30326538 40435384 60653076 121306152