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1001002230120 = 233529319278849
BaseRepresentation
bin11101001000100000110…
…00011110000101101000
310112200202120021222202010
432210100120132011220
5112400023032330440
62043504251435520
7132214524365514
oct16442030360550
93480676258663
101001002230120
11356582732252
12142001755ba0
1373517b06b09
143663d5b5144
151b089738580
hexe91061e168

1001002230120 has 128 divisors (see below), whose sum is σ = 3206770560000. Its totient is φ = 249415434240.

The previous prime is 1001002230101. The next prime is 1001002230161. The reversal of 1001002230120 is 210322001001.

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 = 1001002230096 and 1001002230105.

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, 4531545 + ... + 4747304.

It is an arithmetic number, because the mean of its divisors is an integer number (25052895000).

Almost surely, 21001002230120 is an apocalyptic number.

1001002230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002230120 is an abundant number, since it is smaller than the sum of its proper divisors (2205768329880).

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

1001002230120 is a wasteful number, since it uses less digits than its factorization.

1001002230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278923 (or 9278919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1001002230120 its reverse (210322001001), we get a palindrome (1211324231121).

The spelling of 1001002230120 in words is "one trillion, one billion, two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1160 1240 1740 1798 1860 2697 3480 3596 3720 4495 5394 7192 8990 10788 13485 17980 21576 26970 35960 53940 107880 9278849 18557698 27836547 37115396 46394245 55673094 74230792 92788490 111346188 139182735 185576980 222692376 269086621 278365470 287644319 371153960 538173242 556730940 575288638 807259863 862932957 1076346484 1113461880 1150577276 1345433105 1438221595 1614519726 1725865914 2152692968 2301154552 2690866210 2876443190 3229039452 3451731828 4036299315 4314664785 5381732420 5752886380 6458078904 6903463656 8072598630 8341685251 8629329570 10763464840 11505772760 16145197260 16683370502 17258659140 25025055753 32290394520 33366741004 34517318280 41708426255 50050111506 66733482008 83416852510 100100223012 125125278765 166833705020 200200446024 250250557530 333667410040 500501115060 1001002230120