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203101235364040 = 235132276761254491
BaseRepresentation
bin101110001011100000110000…
…111111001100000011001000
3222122010021210022002200010221
4232023200300333030003020
5203110102312223122130
61555543230334115424
760531402643054546
oct5613406077140310
9878107708080127
10203101235364040
1159794828585442
121a94246894bb74
138943497525350
14382221ba74d96
1518731e11e187a
hexb8b830fcc0c8

203101235364040 has 128 divisors (see below), whose sum is σ = 494372942421120. Its totient is φ = 74649531340800.

The previous prime is 203101235364031. The next prime is 203101235364073. The reversal of 203101235364040 is 40463532101302.

It is a happy number.

It is a super-3 number, since 3×2031012353640403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 203101235363987 and 203101235364005.

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, 797941195 + ... + 798195685.

It is an arithmetic number, because the mean of its divisors is an integer number (3862288612665).

Almost surely, 2203101235364040 is an apocalyptic number.

203101235364040 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 203101235364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247186471210560).

203101235364040 is an abundant number, since it is smaller than the sum of its proper divisors (291271707057080).

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

203101235364040 is a wasteful number, since it uses less digits than its factorization.

203101235364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261503 (or 261499 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 203101235364040 its reverse (40463532101302), we get a palindrome (243564767465342).

The spelling of 203101235364040 in words is "two hundred three trillion, one hundred one billion, two hundred thirty-five million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 227 260 454 520 908 1135 1816 2270 2951 4540 5902 6761 9080 11804 13522 14755 23608 27044 29510 33805 54088 59020 67610 87893 118040 135220 175786 254491 270440 351572 439465 508982 703144 878930 1017964 1272455 1534747 1757860 2035928 2544910 3069494 3308383 3515720 5089820 6138988 6616766 7673735 10179640 12277976 13233532 15347470 16541915 19951711 26467064 30694940 33083830 39903422 57769457 61389880 66167660 79806844 99758555 115538914 132335320 159613688 199517110 231077828 288847285 399034220 462155656 577694570 751002941 798068440 1155389140 1502005882 1720613651 2310778280 3004011764 3441227302 3755014705 6008023528 6882454604 7510029410 8603068255 13764909208 15020058820 17206136510 22367977463 30040117640 34412273020 44735954926 68824546040 89471909852 111839887315 178943819704 223679774630 390579298777 447359549260 781158597554 894719098520 1562317195108 1952896493885 3124634390216 3905792987770 5077530884101 7811585975540 10155061768202 15623171951080 20310123536404 25387654420505 40620247072808 50775308841010 101550617682020 203101235364040