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102301203120 = 24352416312803
BaseRepresentation
bin101111101000110100…
…0000111101010110000
3100210001112202120110220
41133101220013222300
53134003101444440
6114555125453040
710251055610334
oct1372150075260
9323045676426
10102301203120
113a4273a9066
12179b0571180
1398544b63ac
144d469237c4
1529db2978d0
hex17d1a07ab0

102301203120 has 160 divisors (see below), whose sum is σ = 319068102144. Its totient is φ = 27114393600.

The previous prime is 102301203089. The next prime is 102301203133. The reversal of 102301203120 is 21302103201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102301203120.

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, 36495639 + ... + 36498441.

Almost surely, 2102301203120 is an apocalyptic number.

102301203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102301203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159534051072).

102301203120 is an abundant number, since it is smaller than the sum of its proper divisors (216766899024).

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

102301203120 is a wasteful number, since it uses less digits than its factorization.

102301203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102301203120 its reverse (21302103201), we get a palindrome (123603306321).

The spelling of 102301203120 in words is "one hundred two billion, three hundred one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 631 723 964 1205 1262 1446 1893 1928 2410 2524 2803 2892 3155 3615 3786 3856 4820 5048 5606 5784 6310 7230 7572 8409 9465 9640 10096 11212 11568 12620 14015 14460 15144 16818 18930 19280 22424 25240 28030 28920 30288 33636 37860 42045 44848 50480 56060 57840 67272 75720 84090 112120 134544 151440 152071 168180 224240 304142 336360 456213 608284 672720 675523 760355 912426 1216568 1351046 1520710 1768693 1824852 2026569 2281065 2433136 2702092 3041420 3377615 3537386 3649704 4053138 4562130 5306079 5404184 6082840 6755230 7074772 7299408 8106276 8843465 9124260 10132845 10612158 10808368 12165680 13510460 14149544 16212552 17686930 18248520 20265690 21224316 26530395 27020920 28299088 32425104 35373860 36497040 40531380 42448632 53060790 54041840 70747720 81062760 84897264 106121580 141495440 162125520 212243160 424486320 426255013 852510026 1278765039 1705020052 2131275065 2557530078 3410040104 4262550130 5115060156 6393825195 6820080208 8525100260 10230120312 12787650390 17050200520 20460240624 25575300780 34100401040 51150601560 102301203120