Search a number
-
+
102013323020112 = 24379191609205327
BaseRepresentation
bin10111001100011111010011…
…111000011000011101010000
3111101012101012212202221000010
4113030133103320120131100
5101332341241143120422
61000544135034154520
730326135146352460
oct2714372370303520
9441171185687003
10102013323020112
112a5606753aa189
12b536a47582a40
1344bca79979a6a
141b29684cb3ba0
15bbd902258b0c
hex5cc7d3e18750

102013323020112 has 160 divisors (see below), whose sum is σ = 301698778931200. Its totient is φ = 29096711322624.

The previous prime is 102013323020099. The next prime is 102013323020197. The reversal of 102013323020112 is 211020323310201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 496730793 + ... + 496936119.

It is an arithmetic number, because the mean of its divisors is an integer number (1885617368320).

Almost surely, 2102013323020112 is an apocalyptic number.

102013323020112 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 102013323020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150849389465600).

102013323020112 is an abundant number, since it is smaller than the sum of its proper divisors (199685455911088).

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

102013323020112 is a wasteful number, since it uses less digits than its factorization.

102013323020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207873 (or 207867 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102013323020112 its reverse (211020323310201), we get a palindrome (313033646330313).

The spelling of 102013323020112 in words is "one hundred two trillion, thirteen billion, three hundred twenty-three million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 919 1609 1838 2757 3218 3676 4827 5514 6433 6436 7352 9654 11028 11263 12866 12872 14704 19299 19308 22056 22526 25732 25744 33789 38598 38616 44112 45052 51464 67578 77196 77232 90104 102928 135156 154392 180208 205327 270312 308784 410654 540624 615981 821308 1231962 1437289 1478671 1642616 2463924 2874578 2957342 3285232 4311867 4436013 4927848 5749156 5914684 8623734 8872026 9855696 10350697 11498312 11829368 17247468 17744052 20701394 22996624 23658736 31052091 34494936 35488104 41402788 62104182 68989872 70976208 82805576 124208364 165611152 188695513 248416728 330371143 377391026 496833456 566086539 660742286 754782052 991113429 1132173078 1320868591 1321484572 1509564104 1982226858 2264346156 2312598001 2641737182 2642969144 3019128208 3962605773 3964453716 4528692312 4625196002 5283474364 5285938288 6937794003 7925211546 7928907432 9057384624 9250392004 10566948728 13875588006 15850423092 15857814864 18500784008 21133897456 27751176012 31700846184 37001568016 55502352024 63401692368 111004704048 303611080417 607222160834 910833241251 1214444321668 1821666482502 2125277562919 2428888643336 3643332965004 4250555125838 4857777286672 6375832688757 7286665930008 8501110251676 12751665377514 14573331860016 17002220503352 25503330755028 34004441006704 51006661510056 102013323020112