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203213141240424 = 233737212915355541
BaseRepresentation
bin101110001101001000111111…
…000110001110101001101000
3222122111222122012202012102020
4232031020333012032221220
5203113421003124143144
62000110454525304440
760542444036241120
oct5615107706165150
9878458565665366
10203213141240424
11598282335246a7
121a960099a05120
138950bbc832753
1438277d6011c80
1518760907a8419
hexb8d23f18ea68

203213141240424 has 128 divisors (see below), whose sum is σ = 596581233350400. Its totient is φ = 56465145999360.

The previous prime is 203213141240419. The next prime is 203213141240443. The reversal of 203213141240424 is 424042141312302.

203213141240424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5556094 + ... + 20911634.

It is an arithmetic number, because the mean of its divisors is an integer number (4660790885550).

Almost surely, 2203213141240424 is an apocalyptic number.

203213141240424 is a gapful number since it is divisible by the number (24) 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 203213141240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298290616675200).

203213141240424 is an abundant number, since it is smaller than the sum of its proper divisors (393368092109976).

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

203213141240424 is a wasteful number, since it uses less digits than its factorization.

203213141240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15357723 (or 15357719 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 203213141240424 its reverse (424042141312302), we get a palindrome (627255282552726).

The spelling of 203213141240424 in words is "two hundred three trillion, two hundred thirteen billion, one hundred forty-one million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 2129 3108 4258 6216 6387 8516 12774 14903 17032 25548 29806 44709 51096 59612 78773 89418 119224 157546 178836 236319 315092 357672 472638 551411 630184 945276 1102822 1654233 1890552 2205644 3308466 4411288 6616932 13233864 15355541 30711082 46066623 61422164 92133246 107488787 122844328 184266492 214977574 322466361 368532984 429955148 568155017 644932722 859910296 1136310034 1289865444 1704465051 2272620068 2579730888 3408930102 3977085119 4545240136 6817860204 7954170238 11931255357 13635720408 15908340476 23862510714 31816680952 32691946789 47725021428 65383893578 95450042856 98075840367 130767787156 196151680734 228843627523 261535574312 392303361468 457687255046 686530882569 784606722936 915374510092 1209602031193 1373061765138 1830749020184 2419204062386 2746123530276 3628806093579 4838408124772 5492247060552 7257612187158 8467214218351 9676816249544 14515224374316 16934428436702 25401642655053 29030448748632 33868856873404 50803285310106 67737713746808 101606570620212 203213141240424