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119820142152 = 233217210195651
BaseRepresentation
bin110111110010111010…
…1100100011001001000
3102110021110201212220200
41233211311210121020
53430342424022102
6131013345252200
711441153255334
oct1574565443110
9373243655820
10119820142152
11468a738a277
121b27b634060
13b3b6b630c9
145b294c87c4
1531b42c951c
hex1be5d64648

119820142152 has 144 divisors (see below), whose sum is σ = 345124119600. Its totient is φ = 37547097600.

The previous prime is 119820142139. The next prime is 119820142163. The reversal of 119820142152 is 251241028911.

119820142152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1198201421522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21200527 + ... + 21206177.

It is an arithmetic number, because the mean of its divisors is an integer number (2396695275).

Almost surely, 2119820142152 is an apocalyptic number.

119820142152 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 119820142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172562059800).

119820142152 is an abundant number, since it is smaller than the sum of its proper divisors (225303977448).

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

119820142152 is a wasteful number, since it uses less digits than its factorization.

119820142152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 119820142152 in words is "one hundred nineteen billion, eight hundred twenty million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1019 1156 1224 1734 2038 2312 2601 3057 3468 4076 5202 5651 6114 6936 8152 9171 10404 11302 12228 16953 17323 18342 20808 22604 24456 33906 34646 36684 45208 50859 51969 67812 69292 73368 96067 101718 103938 135624 138584 155907 192134 203436 207876 288201 294491 311814 384268 406872 415752 576402 588982 623628 768536 864603 883473 1152804 1177964 1247256 1633139 1729206 1766946 2305608 2355928 2650419 3266278 3458412 3533892 4899417 5300838 5758369 6532556 6916824 7067784 9798834 10601676 11516738 13065112 14698251 17275107 19597668 21203352 23033476 29396502 34550214 39195336 46066952 51825321 58793004 69100428 97892273 103650642 117586008 138200856 195784546 207301284 293676819 391569092 414602568 587353638 783138184 881030457 1174707276 1664168641 1762060914 2349414552 3328337282 3524121828 4992505923 6656674564 7048243656 9985011846 13313349128 14977517769 19970023692 29955035538 39940047384 59910071076 119820142152