Search a number
-
+
121152653152 = 25177910612657
BaseRepresentation
bin111000011010101000…
…0101100011101100000
3102120201100002110100221
41300311100230131200
53441110034400102
6131353505452424
711516163363136
oct1606520543540
9376640073327
10121152653152
1147420572533
121b591941114
13b569c41c5b
145c1446d756
15324128c637
hex1c3542c760

121152653152 has 96 divisors (see below), whose sum is σ = 256084053120. Its totient is φ = 56217108480.

The previous prime is 121152653129. The next prime is 121152653191. The reversal of 121152653152 is 251356251121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45596208 + ... + 45598864.

It is an arithmetic number, because the mean of its divisors is an integer number (2667542220).

Almost surely, 2121152653152 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 121152653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128042026560).

121152653152 is an abundant number, since it is smaller than the sum of its proper divisors (134931399968).

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

121152653152 is a wasteful number, since it uses less digits than its factorization.

121152653152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3816 counting only the distinct ones).

The product of its digits is 18000, while the sum is 34.

The spelling of 121152653152 in words is "one hundred twenty-one billion, one hundred fifty-two million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 272 316 544 632 1061 1264 1343 2122 2528 2657 2686 4244 5314 5372 8488 10628 10744 16976 18037 21256 21488 33952 36074 42512 42976 45169 72148 83819 85024 90338 144296 167638 180676 209903 288592 335276 361352 419806 577184 670552 722704 839612 1341104 1424923 1445408 1679224 2682208 2819077 2849846 3358448 3568351 5638154 5699692 6716896 7136702 11276308 11399384 14273404 22552616 22798768 28546808 45105232 45597536 47924309 57093616 90210464 95848618 114187232 191697236 222707083 383394472 445414166 766788944 890828332 1533577888 1781656664 3563313328 3786020411 7126626656 7572040822 15144081644 30288163288 60576326576 121152653152