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3023001331002 = 2321721374241773
BaseRepresentation
bin101011111111011000111…
…010111010010100111010
3101200222220011022221211100
4223333120322322110322
5344012101320043002
610232425253512230
7431255535226122
oct53773072722472
911628804287740
103023001331002
11a66058495144
12409a65042676
1318c0b5c66b33
14a6457a4dc82
155397dc1811c
hex2bfd8eba53a

3023001331002 has 72 divisors (see below), whose sum is σ = 7008572894076. Its totient is φ = 941469778944.

The previous prime is 3023001330991. The next prime is 3023001331027. The reversal of 3023001331002 is 2001331003203.

3023001331002 is a `hidden beast` number, since 30 + 2 + 300 + 1 + 331 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1569455222841 + 1453546108161 = 1252779^2 + 1205631^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1408213 + ... + 2833560.

Almost surely, 23023001331002 is an apocalyptic number.

3023001331002 is an abundant number, since it is smaller than the sum of its proper divisors (3985571563074).

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

3023001331002 is a wasteful number, since it uses less digits than its factorization.

3023001331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241952 (or 4241932 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3023001331002 its reverse (2001331003203), we get a palindrome (5024332334205).

The spelling of 3023001331002 in words is "three trillion, twenty-three billion, one million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 289 306 411 578 822 867 1233 1734 2329 2466 2601 4658 5202 6987 13974 20961 39593 41922 79186 118779 237558 356337 712674 4241773 8483546 12725319 25450638 38175957 72110141 76351914 144220282 216330423 432660846 581122901 648991269 1162245802 1225872397 1297982538 1743368703 2451744794 3486737406 3677617191 5230106109 7355234382 9879089317 10460212218 11032851573 19758178634 22065703146 29637267951 59274535902 88911803853 167944518389 177823607706 335889036778 503833555167 1007667110334 1511500665501 3023001331002