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231302000100 = 2235223223150323
BaseRepresentation
bin1101011101101010101…
…1000110110111100100
3211010000211112001020110
43113122223012313210
512242201303000400
6254131512333020
722465610363343
oct3273253066744
9733024461213
10231302000100
118a104a49176
12389b26a4170
1318a7236c722
14b2a340bb5a
15603b535e50
hex35daac6de4

231302000100 has 144 divisors (see below), whose sum is σ = 701467103232. Its totient is φ = 58733811840.

The previous prime is 231302000029. The next prime is 231302000107. The reversal of 231302000100 is 1000203132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (231302000107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463539 + ... + 1613861.

It is an arithmetic number, because the mean of its divisors is an integer number (4871299328).

Almost surely, 2231302000100 is an apocalyptic number.

231302000100 is a gapful number since it is divisible by the number (20) 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 231302000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350733551616).

231302000100 is an abundant number, since it is smaller than the sum of its proper divisors (470165103132).

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

231302000100 is a wasteful number, since it uses less digits than its factorization.

231302000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150586 (or 150579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 231302000100 its reverse (1000203132), we get a palindrome (232302203232).

The spelling of 231302000100 in words is "two hundred thirty-one billion, three hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 223 230 276 300 345 446 460 575 669 690 892 1115 1150 1338 1380 1725 2230 2300 2676 3345 3450 4460 5129 5575 6690 6900 10258 11150 13380 15387 16725 20516 22300 25645 30774 33450 51290 61548 66900 76935 102580 128225 150323 153870 256450 300646 307740 384675 450969 512900 601292 751615 769350 901938 1503230 1538700 1803876 2254845 3006460 3457429 3758075 4509690 6914858 7516150 9019380 10372287 11274225 13829716 15032300 17287145 20744574 22548450 33522029 34574290 41489148 45096900 51861435 67044058 69148580 86435725 100566087 103722870 134088116 167610145 172871450 201132174 207445740 259307175 335220290 345742900 402264348 502830435 518614350 670440580 771006667 838050725 1005660870 1037228700 1542013334 1676101450 2011321740 2313020001 2514152175 3084026668 3352202900 3855033335 4626040002 5028304350 7710066670 9252080004 10056608700 11565100005 15420133340 19275166675 23130200010 38550333350 46260400020 57825500025 77100666700 115651000050 231302000100