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1021031004420 = 2232577951101917
BaseRepresentation
bin11101101101110100011…
…00001011100100000100
310121121110101222010220200
432312322030023210010
5113212032414120140
62101015525530500
7133524046224510
oct16667214134404
93547411863820
101021031004420
11364020424889
12145a71273a30
137538a44785b
14375bd62b140
151b85cc8a030
hexedba30b904

1021031004420 has 144 divisors (see below), whose sum is σ = 3540054056448. Its totient is φ = 233346873600.

The previous prime is 1021031004379. The next prime is 1021031004421. The reversal of 1021031004420 is 244001301201.

1021031004420 is a `hidden beast` number, since 1 + 0 + 210 + 3 + 10 + 0 + 442 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1021031004393 and 1021031004402.

It is not an unprimeable number, because it can be changed into a prime (1021031004421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9967302 + ... + 10069218.

Almost surely, 21021031004420 is an apocalyptic number.

1021031004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021031004420 is an abundant number, since it is smaller than the sum of its proper divisors (2519023052028).

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

1021031004420 is a wasteful number, since it uses less digits than its factorization.

1021031004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109890 (or 109885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1021031004420 its reverse (244001301201), we get a palindrome (1265032305621).

The spelling of 1021031004420 in words is "one trillion, twenty-one billion, thirty-one million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 7951 15902 23853 31804 39755 47706 55657 71559 79510 95412 101917 111314 119265 143118 159020 166971 203834 222628 238530 278285 286236 305751 333942 357795 407668 477060 500913 509585 556570 611502 667884 713419 715590 834855 917253 1001826 1019170 1113140 1223004 1426838 1431180 1528755 1669710 1834506 2003652 2038340 2140257 2504565 2853676 3057510 3339420 3567095 3669012 4280514 4586265 5009130 6115020 6420771 7134190 8561028 9172530 10018260 10701285 12841542 14268380 18345060 21402570 25683084 32103855 42805140 64207710 128415420 810342067 1620684134 2431026201 3241368268 4051710335 4862052402 5672394469 7293078603 8103420670 9724104804 11344788938 12155131005 14586157206 16206841340 17017183407 22689577876 24310262010 28361972345 29172314412 34034366814 36465393015 48620524020 51051550221 56723944690 68068733628 72930786030 85085917035 102103100442 113447889380 145861572060 170171834070 204206200884 255257751105 340343668140 510515502210 1021031004420