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102022002121000 = 23531319413044543
BaseRepresentation
bin10111001100100111011001…
…001100100001100100101000
3111101020012121202000221012011
4113030213121030201210220
5101333012030020333000
61000552132153325304
730326563214451553
oct2714473114414450
9441205552027164
10102022002121000
112a564319542135
12b53866a106834
1344c0830ac2810
141b29c6983569a
15bbdc5e1992ba
hex5cc9d9321928

102022002121000 has 128 divisors (see below), whose sum is σ = 270626785228800. Its totient is φ = 35687048428800.

The previous prime is 102022002120959. The next prime is 102022002121003. The reversal of 102022002121000 is 121200220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102022002121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206275272 + ... + 206769271.

It is an arithmetic number, because the mean of its divisors is an integer number (2114271759600).

Almost surely, 2102022002121000 is an apocalyptic number.

102022002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022002121000 is an abundant number, since it is smaller than the sum of its proper divisors (168604783107800).

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

102022002121000 is a wasteful number, since it uses less digits than its factorization.

102022002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413044596 (or 413044582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102022002121000 its reverse (121200220201), we get a palindrome (102143202341201).

The spelling of 102022002121000 in words is "one hundred two trillion, twenty-two billion, two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 9500 9880 12350 13000 19000 24700 30875 49400 61750 123500 247000 413044543 826089086 1652178172 2065222715 3304356344 4130445430 5369579059 7847846317 8260890860 10326113575 10739158118 15695692634 16521781720 20652227150 21478316236 26847895295 31391385268 39239231585 41304454300 42956632472 51630567875 53695790590 62782770536 78478463170 82608908600 102022002121 103261135750 107391581180 134239476475 156956926340 196196157925 204044004242 206522271500 214783162360 268478952950 313913852680 392392315850 408088008484 413044543000 510110010605 536957905900 671197382375 784784631700 816176016968 980980789625 1020220021210 1073915811800 1342394764750 1569569263400 1961961579250 2040440042420 2550550053025 2684789529500 3923923158500 4080880084840 5101100106050 5369579059000 7847846317000 10202200212100 12752750265125 20404400424200 25505500530250 51011001060500 102022002121000