Search a number
-
+
10122221323032 = 2337213250930953
BaseRepresentation
bin1001001101001100001101…
…1010000000001100011000
31022211200020000012202200020
42103103003122000030120
52311320302124314112
633310030112110440
72063210036425200
oct223230332001430
938750200182606
1010122221323032
1132528a0061aa5
121175907535420
135856a15cb900
1426dcbd4a3400
1512847ee2848c
hex934c3680318

10122221323032 has 144 divisors (see below), whose sum is σ = 31875646870440. Its totient is φ = 2669596780032.

The previous prime is 10122221323031. The next prime is 10122221323069. The reversal of 10122221323032 is 23032312222101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10122221322993 and 10122221323011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122221323031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25266733 + ... + 25664220.

Almost surely, 210122221323032 is an apocalyptic number.

10122221323032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122221323032 is an abundant number, since it is smaller than the sum of its proper divisors (21753425547408).

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

10122221323032 is a wasteful number, since it uses less digits than its factorization.

10122221323032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50931002 (or 50930978 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10122221323032 its reverse (23032312222101), we get a palindrome (33154533545133).

The spelling of 10122221323032 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 7098 7644 8281 9464 14196 15288 16562 24843 28392 33124 49686 66248 99372 198744 50930953 101861906 152792859 203723812 305585718 356516671 407447624 611171436 662102389 713033342 1069550013 1222342872 1324204778 1426066684 1986307167 2139100026 2495616697 2648409556 2852133368 3972614334 4278200052 4634716723 4991233394 5296819112 7486850091 7945228668 8556400104 8607331057 9269433446 9982466788 13904150169 14973700182 15890457336 17214662114 18538866892 19964933576 25821993171 27808300338 29947400364 32443017061 34429324228 37077733784 51643986342 55616600676 59894800728 60251317399 64886034122 68858648456 97329051183 103287972684 111233201352 120502634798 129772068244 180753952197 194658102366 206575945368 241005269596 259544136488 361507904394 389316204732 421759221793 482010539192 723015808788 778632409464 843518443586 1265277665379 1446031617576 1687036887172 2530555330758 3374073774344 5061110661516 10122221323032