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21102131024 = 24133173127353
BaseRepresentation
bin10011101001110010…
…001111011101010000
32000110122101022210022
4103221302033131100
5321204121143044
613405535523012
71344634103612
oct235162173520
960418338708
1021102131024
118a4966a407
12410b089468
131cb3b23580
14104281adb2
158378c33ee
hex4e9c8f750

21102131024 has 160 divisors (see below), whose sum is σ = 46567686144. Its totient is φ = 9196830720.

The previous prime is 21102130999. The next prime is 21102131041. The reversal of 21102131024 is 42013120112.

It is a junction number, because it is equal to n+sod(n) for n = 21102130993 and 21102131011.

It is a congruent number.

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, 59779232 + ... + 59779584.

Almost surely, 221102131024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23283843072).

21102131024 is an abundant number, since it is smaller than the sum of its proper divisors (25465555120).

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

21102131024 is a wasteful number, since it uses less digits than its factorization.

21102131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21102131024 its reverse (42013120112), we get a palindrome (63115251136).

The spelling of 21102131024 in words is "twenty-one billion, one hundred two million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 73 104 124 127 146 208 248 254 292 353 403 496 508 584 706 806 949 1016 1168 1412 1612 1651 1898 2032 2263 2824 3224 3302 3796 3937 4526 4589 5648 6448 6604 7592 7874 9052 9178 9271 10943 13208 15184 15748 18104 18356 18542 21886 25769 26416 29419 31496 36208 36712 37084 43772 44831 51181 51538 58838 62992 73424 74168 87544 89662 102362 103076 117676 120523 142259 148336 175088 179324 204724 206152 235352 241046 284518 287401 334997 358648 409448 412304 470704 482092 569036 574802 582803 669994 717296 798839 818896 964184 1138072 1149604 1165606 1339988 1389761 1597678 1928368 2276144 2299208 2331212 2679976 2779522 3195356 3272663 3736213 4598416 4662424 5359952 5559044 6390712 6545326 7472426 9324848 10384907 11118088 12781424 13090652 14944852 18066893 20769814 22236176 26181304 29889704 36133786 41539628 42544619 52362608 59779408 72267572 83079256 85089238 101452553 144535144 166158512 170178476 202905106 289070288 340356952 405810212 680713904 811620424 1318883189 1623240848 2637766378 5275532756 10551065512 21102131024