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10232213202024 = 23311593177736781
BaseRepresentation
bin1001010011100101111101…
…1011101110010001101000
31100020012010112100011010020
42110321133123232101220
52320121033034431044
633432340331520440
72104152532113222
oct224713733562150
940205115304106
1010232213202024
113295503665730
1211930a35b9120
13592b80214288
14275355571412
1512b26b469a19
hex94e5f6ee468

10232213202024 has 128 divisors (see below), whose sum is σ = 27969586001280. Its totient is φ = 3093615820800.

The previous prime is 10232213202011. The next prime is 10232213202163. The reversal of 10232213202024 is 42020231223201.

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 = 10232213201985 and 10232213202003.

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, 278174514 + ... + 278211294.

It is an arithmetic number, because the mean of its divisors is an integer number (218512390635).

Almost surely, 210232213202024 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 10232213202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984793000640).

10232213202024 is an abundant number, since it is smaller than the sum of its proper divisors (17737372799256).

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

10232213202024 is a wasteful number, since it uses less digits than its factorization.

10232213202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39171 (or 39167 counting only the distinct ones).

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

Adding to 10232213202024 its reverse (42020231223201), we get a palindrome (52252444425225).

The spelling of 10232213202024 in words is "ten trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 593 1186 1777 1779 2372 3554 3558 4744 5331 6523 7108 7116 10662 13046 14216 14232 19547 19569 21324 26092 36781 39094 39138 42648 52184 58641 73562 78188 78276 110343 117282 147124 156376 156552 220686 234564 294248 404591 441372 469128 809182 882744 1053761 1213773 1618364 2107522 2427546 3161283 3236728 4215044 4855092 6322566 8430088 9710184 11591371 12645132 21811133 23182742 25290264 34774113 43622266 46365484 65359837 65433399 69548226 87244532 92730968 130719674 130866798 139096452 174489064 196079511 239922463 261439348 261733596 278192904 392159022 479844926 522878696 523467192 718958207 719767389 784318044 959689852 1437916414 1439534778 1568636088 1919379704 2156874621 2875832828 2879069556 4313749242 5751665656 5758139112 8627498484 17254996968 38758383341 77516766682 116275150023 155033533364 232550300046 310067066728 426342216751 465100600092 852684433502 930201200184 1279026650253 1705368867004 2558053300506 3410737734008 5116106601012 10232213202024