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203213323140440 = 23529751369163199
BaseRepresentation
bin101110001101001001001001…
…111100000111110101011000
3222122112000002220000200022212
4232031021021330013311120
5203113421341210443230
62000110524544134252
760542451405331634
oct5615111174076530
9878460086020285
10203213323140440
1159828317174898
121a96012a907388
138950c1b4203b2
143827812241dc4
1518760a1739895
hexb8d249f07d58

203213323140440 has 128 divisors (see below), whose sum is σ = 473762165760000. Its totient is φ = 78355408320000.

The previous prime is 203213323140349. The next prime is 203213323140463. The reversal of 203213323140440 is 44041323312302.

203213323140440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203213323140397 and 203213323140406.

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, 3215419961 + ... + 3215483159.

It is an arithmetic number, because the mean of its divisors is an integer number (3701266920000).

Almost surely, 2203213323140440 is an apocalyptic number.

203213323140440 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 203213323140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236881082880000).

203213323140440 is an abundant number, since it is smaller than the sum of its proper divisors (270548842619560).

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

203213323140440 is a wasteful number, since it uses less digits than its factorization.

203213323140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67681 (or 67677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 203213323140440 its reverse (44041323312302), we get a palindrome (247254646452742).

The spelling of 203213323140440 in words is "two hundred three trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 751 1160 1502 3004 3691 3755 6008 7382 7510 14764 15020 18455 21779 29528 30040 36910 43558 63199 73820 87116 107039 108895 126398 147640 174232 214078 217790 252796 315995 428156 435580 505592 535195 631990 856312 871160 1070390 1263980 1832771 2140780 2527960 2771941 3665542 4281560 5543882 7331084 9163855 11087764 13859705 14662168 18327710 22175528 27719410 36655420 47462449 55438820 73310840 80386289 94924898 110877640 160772578 189849796 233267509 237312245 321545156 379699592 401931445 466535018 474624490 643090312 803862890 933070036 949248980 1166337545 1376411021 1607725780 1866140072 1898497960 2332675090 2752822042 3215451560 4665350180 5505644084 6764757761 6882055105 9330700360 11011288168 13529515522 13764110210 27059031044 27528220420 33823788805 54118062088 55056440840 67647577610 135295155220 175183899259 270590310440 350367798518 700735597036 875919496295 1401471194072 1751838992590 3503677985180 5080333078511 7007355970360 10160666157022 20321332314044 25401665392555 40642664628088 50803330785110 101606661570220 203213323140440