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102102022020 = 223529411431203
BaseRepresentation
bin101111100010111000…
…0010011011110000100
3100202112122222010101010
41133011300103132010
53133101104201040
6114523252402220
710243116603405
oct1370560233604
9322478863333
10102102022020
113a334a25389
1217955916370
139822157a5b
144d282b59ac
1529c8a50e80
hex17c5c13784

102102022020 has 96 divisors (see below), whose sum is σ = 302957262720. Its totient is φ = 25647139840.

The previous prime is 102102021919. The next prime is 102102022037. The reversal of 102102022020 is 20220201201.

102102022020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102102021987 and 102102022005.

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, 644262 + ... + 786941.

It is an arithmetic number, because the mean of its divisors is an integer number (3155804820).

Almost surely, 2102102022020 is an apocalyptic number.

102102022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102022020 is an abundant number, since it is smaller than the sum of its proper divisors (200855240700).

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

102102022020 is a wasteful number, since it uses less digits than its factorization.

102102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431285 (or 1431283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102102022020 its reverse (20220201201), we get a palindrome (122322223221).

The spelling of 102102022020 in words is "one hundred two billion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 820 870 1189 1230 1740 2378 2460 3567 4756 5945 7134 11890 14268 17835 23780 35670 71340 1431203 2862406 4293609 5724812 7156015 8587218 14312030 17174436 21468045 28624060 41504887 42936090 58679323 83009774 85872180 117358646 124514661 166019548 176037969 207524435 234717292 249029322 293396615 352075938 415048870 498058644 586793230 622573305 704151876 830097740 880189845 1173586460 1245146610 1701700367 1760379690 2490293220 3403400734 3520759380 5105101101 6806801468 8508501835 10210202202 17017003670 20420404404 25525505505 34034007340 51051011010 102102022020