Search a number
-
+
10122444421400 = 2352591495757277
BaseRepresentation
bin1001001101001101000010…
…1101000011100100011000
31022211200210120000100002202
42103103100231003210120
52311321231232441100
633310104201545332
72063215415634563
oct223232055034430
938750716010082
1010122444421400
1132529a4a91113
12117596a1a5248
135857088b268c
1426dd00d794da
151284947e67d5
hex934d0b43918

10122444421400 has 96 divisors (see below), whose sum is σ = 24094208430000. Its totient is φ = 3953636574720.

The previous prime is 10122444421391. The next prime is 10122444421429. The reversal of 10122444421400 is 412444422101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120439 + ... + 4636838.

Almost surely, 210122444421400 is an apocalyptic number.

10122444421400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122444421400 is an abundant number, since it is smaller than the sum of its proper divisors (13971764008600).

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

10122444421400 is a wasteful number, since it uses less digits than its factorization.

10122444421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757501 (or 5757492 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 10122444421400 its reverse (412444422101), we get a palindrome (10534888843501).

The spelling of 10122444421400 in words is "ten trillion, one hundred twenty-two billion, four hundred forty-four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 149 200 236 295 298 472 590 596 745 1180 1192 1475 1490 2360 2950 2980 3725 5900 5960 7450 8791 11800 14900 17582 29800 35164 43955 70328 87910 175820 219775 351640 439550 879100 1758200 5757277 11514554 23029108 28786385 46058216 57572770 115145540 143931925 230291080 287863850 339679343 575727700 679358686 857834273 1151455400 1358717372 1698396715 1715668546 2717434744 3396793430 3431337092 4289171365 6793586860 6862674184 8491983575 8578342730 13587173720 16983967150 17156685460 21445856825 33967934300 34313370920 42891713650 50612222107 67935868600 85783427300 101224444214 171566854600 202448888428 253061110535 404897776856 506122221070 1012244442140 1265305552675 2024488884280 2530611105350 5061222210700 10122444421400