Search a number
-
+
102122111021000 = 2353715196615053
BaseRepresentation
bin10111001110000100101000…
…001001101010111111001000
3111101120210000111120222011012
4113032010220021222333020
5101341132040410133000
61001110130010423052
730340036053201020
oct2716045011527710
9441523014528135
10102122111021000
112a5a2820398434
12b553b48431a88
1344ca0c6040a15
141b30a45122a80
15bc166cc45735
hex5ce12826afc8

102122111021000 has 128 divisors (see below), whose sum is σ = 274912339253760. Its totient is φ = 34781418720000.

The previous prime is 102122111020933. The next prime is 102122111021041. The reversal of 102122111021000 is 120111221201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 47250527 + ... + 49364526.

It is an arithmetic number, because the mean of its divisors is an integer number (2147752650420).

Almost surely, 2102122111021000 is an apocalyptic number.

102122111021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122111021000 is an abundant number, since it is smaller than the sum of its proper divisors (172790228232760).

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

102122111021000 is a wasteful number, since it uses less digits than its factorization.

102122111021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96615232 (or 96615218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102122111021000 its reverse (120111221201), we get a palindrome (102242222242201).

It can be divided in two parts, 10212211 and 1021000, that added together give a palindrome (11233211).

The spelling of 102122111021000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred eleven million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 151 175 200 250 280 302 350 500 604 700 755 875 1000 1057 1208 1400 1510 1750 2114 3020 3500 3775 4228 5285 6040 7000 7550 8456 10570 15100 18875 21140 26425 30200 37750 42280 52850 75500 105700 132125 151000 211400 264250 528500 1057000 96615053 193230106 386460212 483075265 676305371 772920424 966150530 1352610742 1932301060 2415376325 2705221484 3381526855 3864602120 4830752650 5410442968 6763053710 9661505300 12076881625 13526107420 14588873003 16907634275 19323010600 24153763250 27052214840 29177746006 33815268550 48307526500 58355492012 67630537100 72944365015 84538171375 96615053000 102122111021 116710984024 135261074200 145888730030 169076342750 204244222042 291777460060 338152685500 364721825075 408488444084 510610555105 583554920120 676305371000 729443650150 816976888168 1021221110210 1458887300300 1823609125375 2042442220420 2553052775525 2917774600600 3647218250750 4084884440840 5106105551050 7294436501500 10212211102100 12765263877625 14588873003000 20424422204200 25530527755250 51061055510500 102122111021000