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101020120216 = 231491933371303
BaseRepresentation
bin101111000010101000…
…1001011010010011000
3100122202021011211002221
41132011101023102120
53123342122321331
6114224043433424
710204241565631
oct1360521132230
9318667154087
10101020120216
113992a251564
12176b3525874
1396abc72982
144c64728888
152963a92711
hex178544b498

101020120216 has 64 divisors (see below), whose sum is σ = 192388248000. Its totient is φ = 49724817408.

The previous prime is 101020120181. The next prime is 101020120217. The reversal of 101020120216 is 612021020101.

It is a self number, because there is not a number n which added to its sum of digits gives 101020120216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020120217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77528221 + ... + 77529523.

It is an arithmetic number, because the mean of its divisors is an integer number (3006066375).

Almost surely, 2101020120216 is an apocalyptic number.

It is an amenable number.

101020120216 is a deficient number, since it is larger than the sum of its proper divisors (91368127784).

101020120216 is a wasteful number, since it uses less digits than its factorization.

101020120216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101020120216 its reverse (612021020101), we get a palindrome (713041140317).

The spelling of 101020120216 in words is "one hundred one billion, twenty million, one hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 8 149 193 298 337 386 596 674 772 1192 1303 1348 1544 2606 2696 5212 10424 28757 50213 57514 65041 100426 115028 130082 194147 200852 230056 251479 260164 388294 401704 439111 502958 520328 776588 878222 1005916 1553176 1756444 2011832 3512888 9691109 19382218 37470371 38764436 65427539 74940742 77528872 84748423 130855078 149881484 169496846 261710156 299762968 338993692 523420312 677987384 12627515027 25255030054 50510060108 101020120216