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1020200112030 = 2351123683196799
BaseRepresentation
bin11101101100010001010…
…10100100111110011110
310121112022111111102211110
432312020222210332132
5113203332212041110
62100401245002450
7133464336604641
oct16661052447636
93545274442743
101020200112030
11363734404060
1214587ab53426
1375287269758
143754113da58
151b80ed5ea20
hexed88aa4f9e

1020200112030 has 128 divisors (see below), whose sum is σ = 2791297843200. Its totient is φ = 236220575360.

The previous prime is 1020200111993. The next prime is 1020200112067. The reversal of 1020200112030 is 302110020201.

It is an interprime number because it is at equal distance from previous prime (1020200111993) and next prime (1020200112067).

It is a junction number, because it is equal to n+sod(n) for n = 1020200111997 and 1020200112015.

It is a congruent number.

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, 5085571 + ... + 5282369.

It is an arithmetic number, because the mean of its divisors is an integer number (21807014400).

Almost surely, 21020200112030 is an apocalyptic number.

1020200112030 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 1020200112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395648921600).

1020200112030 is an abundant number, since it is smaller than the sum of its proper divisors (1771097731170).

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

1020200112030 is a wasteful number, since it uses less digits than its factorization.

1020200112030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197526.

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

Adding to 1020200112030 its reverse (302110020201), we get a palindrome (1322310132231).

The spelling of 1020200112030 in words is "one trillion, twenty billion, two hundred million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 683 690 759 1265 1366 1518 2049 2530 3415 3795 4098 6830 7513 7590 10245 15026 15709 20490 22539 31418 37565 45078 47127 75130 78545 94254 112695 157090 172799 196799 225390 235635 345598 393598 471270 518397 590397 863995 983995 1036794 1180794 1727990 1967990 2164789 2591985 2951985 4329578 4526377 5183970 5903970 6494367 9052754 10823945 12988734 13579131 21647890 22631885 27158262 32471835 45263770 49790147 64943670 67895655 99580294 134413717 135791310 149370441 248950735 268827434 298740882 403241151 497901470 672068585 746852205 806482302 1344137170 1478550887 1493704410 2016205755 2957101774 3091515491 4032411510 4435652661 6183030982 7392754435 8871305322 9274546473 14785508870 15457577455 18549092946 22178263305 30915154910 34006670401 44356526610 46372732365 68013340802 92745464730 102020011203 170033352005 204040022406 340066704010 510100056015 1020200112030