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102021022201104 = 243247101149247803
BaseRepresentation
bin10111001100100110011110…
…110010011011010100010000
3111101020010002110010211210200
4113030212132302123110100
5101333003023140413404
61000551451030255200
730326530015332336
oct2714463662332420
9441203073124720
10102021022201104
112a563966393886
12b538435ab7500
1344c0705a96366
141b29bb5633b56
15bbdc03132839
hex5cc99ec9b510

102021022201104 has 120 divisors (see below), whose sum is σ = 294479051098752. Its totient is φ = 32953914681600.

The previous prime is 102021022201081. The next prime is 102021022201127. The reversal of 102021022201104 is 401102220120201.

It is an interprime number because it is at equal distance from previous prime (102021022201081) and next prime (102021022201127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73940334 + ... + 75307469.

Almost surely, 2102021022201104 is an apocalyptic number.

It is an amenable number.

102021022201104 is an abundant number, since it is smaller than the sum of its proper divisors (192458028897648).

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

102021022201104 is a wasteful number, since it uses less digits than its factorization.

102021022201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149247965 (or 149247956 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021022201104 its reverse (401102220120201), we get a palindrome (503123242321305).

The spelling of 102021022201104 in words is "one hundred two trillion, twenty-one billion, twenty-two million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 101 141 144 188 202 282 303 376 404 423 564 606 752 808 846 909 1128 1212 1616 1692 1818 2256 2424 3384 3636 4747 4848 6768 7272 9494 14241 14544 18988 28482 37976 42723 56964 75952 85446 113928 170892 227856 341784 683568 149247803 298495606 447743409 596991212 895486818 1193982424 1343230227 1790973636 2387964848 2686460454 3581947272 5372920908 7014646741 7163894544 10745841816 14029293482 15074028103 21043940223 21491683632 28058586964 30148056206 42087880446 45222084309 56117173928 60296112412 63131820669 84175760892 90444168618 112234347856 120592224824 126263641338 135666252927 168351521784 180888337236 241184449648 252527282676 271332505854 336703043568 361776674472 505054565352 542665011708 708479320841 723553348944 1010109130704 1085330023416 1416958641682 2125437962523 2170660046832 2833917283364 4250875925046 5667834566728 6376313887569 8501751850092 11335669133456 12752627775138 17003503700184 25505255550276 34007007400368 51010511100552 102021022201104