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133022201424 = 24371943484577
BaseRepresentation
bin111101111100010111…
…1011011011001010000
3110201100112201222120220
41323320233123121100
54134412140421144
6141035355233040
712416262025140
oct1737057333120
9421315658526
10133022201424
1151461623862
1221944a48780
13c70c0604b8
14661ca10920
1536d8340919
hex1ef8bdb650

133022201424 has 160 divisors (see below), whose sum is σ = 423017210880. Its totient is φ = 35168587776.

The previous prime is 133022201423. The next prime is 133022201441. The reversal of 133022201424 is 424102220331.

It is a happy number.

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 = 133022201394 and 133022201403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133022201423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32224 + ... + 516800.

It is an arithmetic number, because the mean of its divisors is an integer number (2643857568).

Almost surely, 2133022201424 is an apocalyptic number.

133022201424 is a gapful number since it is divisible by the number (14) 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 133022201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211508605440).

133022201424 is an abundant number, since it is smaller than the sum of its proper divisors (289995009456).

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

133022201424 is a wasteful number, since it uses less digits than its factorization.

133022201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484657 (or 484651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 133022201424 its reverse (424102220331), we get a palindrome (557124421755).

The spelling of 133022201424 in words is "one hundred thirty-three billion, twenty-two million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 399 456 516 532 602 688 798 817 903 912 1032 1064 1204 1596 1634 1806 2064 2128 2408 2451 3192 3268 3612 4816 4902 5719 6384 6536 7224 9804 11438 13072 14448 17157 19608 22876 34314 39216 45752 68628 91504 137256 274512 484577 969154 1453731 1938308 2907462 3392039 3876616 5814924 6784078 7753232 9206963 10176117 11629848 13568156 18413926 20352234 20836811 23259696 27136312 27620889 36827852 40704468 41673622 54272624 55241778 62510433 64448741 73655704 81408936 83347244 110483556 125020866 128897482 145857677 147311408 162817872 166694488 193346223 220967112 250041732 257794964 291715354 333388976 386692446 395899409 437573031 441934224 500083464 515589928 583430708 773384892 791798818 875146062 1000166928 1031179856 1166861416 1187698227 1546769784 1583597636 1750292124 2333722832 2375396454 2771295863 3093539568 3167195272 3500584248 4750792908 5542591726 6334390544 7001168496 8313887589 9501585816 11085183452 16627775178 19003171632 22170366904 33255550356 44340733808 66511100712 133022201424