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1020023310110 = 257232949943781
BaseRepresentation
bin11101101011111100010…
…00001000011100011110
310121111212011210222012012
432311332020020130132
5113203001431410420
62100331531311222
7133460062036310
oct16657610103436
93544764728165
101020023310110
11363653626172
1214582b8ab512
137525974542c
14375258797b0
151b7ee588dc5
hexed7e20871e

1020023310110 has 128 divisors (see below), whose sum is σ = 2269658880000. Its totient is φ = 322327272960.

The previous prime is 1020023310107. The next prime is 1020023310113. The reversal of 1020023310110 is 110133200201.

It is an interprime number because it is at equal distance from previous prime (1020023310107) and next prime (1020023310113).

It is a super-2 number, since 2×10200233101102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020023310113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23276420 + ... + 23320200.

It is an arithmetic number, because the mean of its divisors is an integer number (17731710000).

Almost surely, 21020023310110 is an apocalyptic number.

1020023310110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020023310110 is an abundant number, since it is smaller than the sum of its proper divisors (1249635569890).

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

1020023310110 is a wasteful number, since it uses less digits than its factorization.

1020023310110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44346.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1020023310110 its reverse (110133200201), we get a palindrome (1130156510311).

The spelling of 1020023310110 in words is "one trillion, twenty billion, twenty-three million, three hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 23 29 35 46 58 70 115 145 161 203 230 290 322 406 499 667 805 998 1015 1334 1610 2030 2495 3335 3493 4669 4990 6670 6986 9338 11477 14471 17465 22954 23345 28942 34930 43781 46690 57385 72355 80339 87562 101297 114770 144710 160678 202594 218905 306467 332833 401695 437810 506485 612934 665666 803390 1006963 1012970 1269649 1532335 1664165 2013926 2329831 2539298 3064670 3328330 4659662 5034815 6348245 7048741 8887543 10069630 11649155 12696490 14097482 17775086 21846719 23298310 29201927 35243705 43693438 44437715 58403854 70487410 88875430 109233595 146009635 152927033 204413489 218467190 292019270 305854066 408826978 502474537 633554851 764635165 1004949074 1022067445 1267109702 1529270330 2044134890 2512372685 3167774255 3517321759 4434883957 5024745370 6335548510 7034643518 8869767914 14571761573 17586608795 22174419785 29143523146 35173217590 44348839570 72858807865 102002331011 145717615730 204004662022 510011655055 1020023310110