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1020344021032 = 237247260921227
BaseRepresentation
bin11101101100100010011…
…11100011000000101000
310121112200112021202212111
432312101033203000220
5113204131032133112
62100423425252104
7133501035035500
oct16662117430050
93545615252774
101020344021032
113637a8666016
121458bb194034
13752ab0150cb
14375562c0a00
151b81c7d95a7
hexed913e3028

1020344021032 has 96 divisors (see below), whose sum is σ = 2273824483200. Its totient is φ = 427802049024.

The previous prime is 1020344021009. The next prime is 1020344021033. The reversal of 1020344021032 is 2301204430201.

It is a super-2 number, since 2×10203440210322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020344020994 and 1020344021012.

It is not an unprimeable number, because it can be changed into a prime (1020344021033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48057603 + ... + 48078829.

It is an arithmetic number, because the mean of its divisors is an integer number (23685671700).

Almost surely, 21020344021032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020344021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136912241600).

1020344021032 is an abundant number, since it is smaller than the sum of its proper divisors (1253480462168).

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

1020344021032 is a wasteful number, since it uses less digits than its factorization.

1020344021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23903 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1020344021032 its reverse (2301204430201), we get a palindrome (3321548451233).

The spelling of 1020344021032 in words is "one trillion, twenty billion, three hundred forty-four million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2609 2632 4606 5218 9212 10436 18263 18424 20872 21227 36526 42454 73052 84908 122623 127841 146104 148589 169816 245246 255682 297178 490492 511364 594356 858361 980984 997669 1022728 1040123 1188712 1716722 1995338 2080246 3433444 3990676 4160492 6008527 6866888 6983683 7981352 8320984 12017054 13967366 24034108 27934732 48068216 48885781 55381243 55869464 97771562 110762486 195543124 221524972 387668701 391086248 443049944 775337402 1550674804 2602918421 2713680907 3101349608 5205836842 5427361814 10411673684 10854723628 18220428947 20823347368 21709447256 36440857894 72881715788 127543002629 145763431576 255086005258 510172010516 1020344021032