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153153221221 = 711213173126393
BaseRepresentation
bin1000111010100010100…
…1001011001001100101
3112122022111210202012201
42032220221023021211
510002124211034341
6154205125014501
714031164621020
oct2165051131145
9478274722181
10153153221221
1159a52000a00
1225822854431
131159991cb30
1475ac4801b7
153eb583c331
hex23a8a4b265

153153221221 has 96 divisors (see below), whose sum is σ = 226463053824. Its totient is φ = 100331827200.

The previous prime is 153153221209. The next prime is 153153221237. The reversal of 153153221221 is 122122351351.

It is not a de Polignac number, because 153153221221 - 211 = 153153219173 is a prime.

153153221221 is a modest number, since divided by 221221 gives 153153 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 153153221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153153221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5789601 + ... + 5815993.

It is an arithmetic number, because the mean of its divisors is an integer number (2358990144).

Almost surely, 2153153221221 is an apocalyptic number.

153153221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153153221221 is a deficient number, since it is larger than the sum of its proper divisors (73309832603).

153153221221 is a wasteful number, since it uses less digits than its factorization.

153153221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26483 (or 26472 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

Adding to 153153221221 its reverse (122122351351), we get a palindrome (275275572572).

The spelling of 153153221221 in words is "one hundred fifty-three billion, one hundred fifty-three million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 17 31 77 91 119 121 143 187 217 221 341 403 527 847 1001 1309 1547 1573 2057 2387 2431 2821 3689 3751 4433 5797 6851 11011 14399 17017 26257 26393 26741 31031 40579 47957 48763 63767 75361 184751 187187 290323 341341 343109 446369 448681 527527 818183 828971 2032261 2401763 3140767 3193553 3774199 4935491 5727281 5802797 5832853 9000013 10636379 13909111 22354871 26419393 34548437 40829971 41516189 54290401 63000091 64161383 74454653 97363777 99000143 117000169 153000221 180818443 290613323 380032807 449129681 693001001 705775213 819001183 1071001547 1265729101 1287001859 1683002431 1989002873 4940426491 9009013013 11781017017 13923020111 21879031603 153153221221