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232030013322100 = 225273312953339121
BaseRepresentation
bin110100110000011110110010…
…100001010111001101110100
31010102112212000120112101212211
4310300132302201113031310
5220403034431402301400
62141253041103223204
766605421014364640
oct6460366241271564
91112485016471784
10232030013322100
1167a28415568314
1222034b79ba7b04
139c6144b010286
144142453975c20
151bc5976c01dba
hexd307b2857374

232030013322100 has 144 divisors (see below), whose sum is σ = 577370061256576. Its totient is φ = 79285713408000.

The previous prime is 232030013322043. The next prime is 232030013322119. The reversal of 232030013322100 is 1223310030232.

232030013322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684040540 + ... + 684379660.

Almost surely, 2232030013322100 is an apocalyptic number.

232030013322100 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 232030013322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288685030628288).

232030013322100 is an abundant number, since it is smaller than the sum of its proper divisors (345340047934476).

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

232030013322100 is a wasteful number, since it uses less digits than its factorization.

232030013322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342426 (or 342419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 232030013322100 its reverse (1223310030232), we get a palindrome (233253323352332).

The spelling of 232030013322100 in words is "two hundred thirty-two trillion, thirty billion, thirteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 331 350 662 700 1324 1655 2317 2953 3310 4634 5906 6620 8275 9268 11585 11812 14765 16550 20671 23170 29530 33100 41342 46340 57925 59060 73825 82684 103355 115850 147650 206710 231700 295300 339121 413420 516775 678242 977443 1033550 1356484 1695605 1954886 2067100 2373847 3391210 3909772 4747694 4887215 6782420 6842101 8478025 9495388 9774430 11869235 13684202 16956050 19548860 23738470 24436075 27368404 33912100 34210505 47476940 48872150 59346175 68421010 97744300 112249051 118692350 136842020 171052525 224498102 237384700 342105050 448996204 561245255 684210100 785743357 1001424313 1122490510 1571486714 2002848626 2244981020 2806226275 3142973428 3928716785 4005697252 5007121565 5612452550 7009970191 7857433570 10014243130 11224905100 14019940382 15714867140 19643583925 20028486260 25035607825 28039880764 35049850955 39287167850 50071215650 70099701910 78574335700 100142431300 140199403820 175249254775 331471447603 350498509550 662942895206 700997019100 1325885790412 1657357238015 2320300133221 3314714476030 4640600266442 6629428952060 8286786190075 9281200532884 11601500666105 16573572380150 23203001332210 33147144760300 46406002664420 58007503330525 116015006661050 232030013322100