Search a number
-
+
102122102022000 = 2435368437248701
BaseRepresentation
bin10111001110000100100111…
…100111010101111101110000
3111101120202222212122202211220
4113032010213213111331300
5101341132031104201000
61001110125045505040
730340035613540614
oct2716044747257560
9441522885582756
10102122102022000
112a5a2816301345
12b553b45412180
1344ca0c420c978
141b30a43c5d344
15bc166c0691a0
hex5ce1279d5f70

102122102022000 has 160 divisors (see below), whose sum is σ = 329247791655744. Its totient is φ = 27232053120000.

The previous prime is 102122102021971. The next prime is 102122102022001. The reversal of 102122102022000 is 220201221201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122102022001) 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, 410497650 + ... + 410746350.

Almost surely, 2102122102022000 is an apocalyptic number.

102122102022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122102022000 is an abundant number, since it is smaller than the sum of its proper divisors (227125689633744).

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

102122102022000 is a wasteful number, since it uses less digits than its factorization.

102122102022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317164 (or 317148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122102022000 its reverse (220201221201), we get a palindrome (102342303243201).

The spelling of 102122102022000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 68437 136874 205311 248701 273748 342185 410622 497402 547496 684370 746103 821244 994804 1026555 1094992 1243505 1368740 1492206 1642488 1710925 1989608 2053110 2487010 2737480 2984412 3284976 3421850 3730515 3979216 4106220 4974020 5132775 5474960 5968824 6217525 6843700 7461030 8212440 8554625 9948040 10265550 11937648 12435050 13687400 14922060 16424880 17109250 18652575 19896080 20531100 24870100 25663875 27374800 29844120 31087625 34218500 37305150 41062200 49740200 51327750 59688240 62175250 68437000 74610300 82124400 93262875 99480400 102655500 124350500 136874000 149220600 186525750 205311000 248701000 298441200 373051500 410622000 497402000 746103000 1492206000 17020350337 34040700674 51061051011 68081401348 85101751685 102122102022 136162802696 170203503370 204244204044 255305255055 272325605392 340407006740 408488408088 425508758425 510610510110 680814013480 816976816176 851017516850 1021221020220 1276526275275 1361628026960 1702035033700 2042442040440 2127543792125 2553052550550 3404070067400 4084884080880 4255087584250 5106105101100 6382631376375 6808140134800 8510175168500 10212210202200 12765262752750 17020350337000 20424420404400 25530525505500 34040700674000 51061051011000 102122102022000