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1020031121010 = 2351131233427939
BaseRepresentation
bin11101101011111101001…
…01111011011001110010
310121111212201111210201210
432311332211323121302
5113203010431333020
62100332410540550
7133460215320516
oct16657645733162
93544781453653
101020031121010
11363657a80660
12145832437756
137525b24b775
1437526910146
151b8000cd3e0
hexed7e97b672

1020031121010 has 128 divisors (see below), whose sum is σ = 2768614318080. Its totient is φ = 238275878400.

The previous prime is 1020031120921. The next prime is 1020031121047. The reversal of 1020031121010 is 101211300201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2169621 + ... + 2597559.

It is an arithmetic number, because the mean of its divisors is an integer number (21629799360).

Almost surely, 21020031121010 is an apocalyptic number.

1020031121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020031121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384307159040).

1020031121010 is an abundant number, since it is smaller than the sum of its proper divisors (1748583197070).

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

1020031121010 is a wasteful number, since it uses less digits than its factorization.

1020031121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428224.

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

Adding to 1020031121010 its reverse (101211300201), we get a palindrome (1121242421211).

The spelling of 1020031121010 in words is "one trillion, twenty billion, thirty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 233 310 330 341 465 466 682 699 930 1023 1165 1398 1705 2046 2330 2563 3410 3495 5115 5126 6990 7223 7689 10230 12815 14446 15378 21669 25630 36115 38445 43338 72230 76890 79453 108345 158906 216690 238359 397265 427939 476718 794530 855878 1191795 1283817 2139695 2383590 2567634 4279390 4707329 6419085 9414658 12838170 13266109 14121987 23536645 26532218 28243974 39798327 47073290 66330545 70609935 79596654 99709787 132661090 141219870 145927199 198991635 199419574 291854398 299129361 397983270 437781597 498548935 598258722 729635995 875563194 997097870 1096807657 1459271990 1495646805 2188907985 2193615314 2991293610 3091003397 3290422971 4377815970 5484038285 6182006794 6580845942 9273010191 10968076570 15455016985 16452114855 18546020382 30910033970 32904229710 34001037367 46365050955 68002074734 92730101910 102003112101 170005186835 204006224202 340010373670 510015560505 1020031121010