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1023220332300 = 2235219787228097
BaseRepresentation
bin11101110001111001010…
…11110011011100001100
310121211002222120112011110
432320330223303130030
5113231023401113200
62102021054452020
7133632232214565
oct16707453633414
93554088515143
101023220332300
11364a44225271
12146382504010
1375648bb073a
143774a2cb16c
151b93a099b50
hexee3caf370c

1023220332300 has 144 divisors (see below), whose sum is σ = 3120307648640. Its totient is φ = 258168176640.

The previous prime is 1023220332293. The next prime is 1023220332401. The reversal of 1023220332300 is 32330223201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371852 + ... + 4599948.

Almost surely, 21023220332300 is an apocalyptic number.

1023220332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023220332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560153824320).

1023220332300 is an abundant number, since it is smaller than the sum of its proper divisors (2097087316340).

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

1023220332300 is a wasteful number, since it uses less digits than its factorization.

1023220332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228920 (or 228913 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1023220332300 its reverse (32330223201), we get a palindrome (1055550555501).

The spelling of 1023220332300 in words is "one trillion, twenty-three billion, two hundred twenty million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 787 950 1140 1425 1574 1900 2361 2850 3148 3935 4722 5700 7870 9444 11805 14953 15740 19675 23610 29906 39350 44859 47220 59025 59812 74765 78700 89718 118050 149530 179436 224295 228097 236100 299060 373825 448590 456194 684291 747650 897180 912388 1121475 1140485 1368582 1495300 2242950 2280970 2737164 3421455 4333843 4485900 4561940 5702425 6842910 8667686 11404850 13001529 13685820 17107275 17335372 21669215 22809700 26003058 34214550 43338430 52006116 65007645 68429100 86676860 108346075 130015290 179512339 216692150 260030580 325038225 359024678 433384300 538537017 650076450 718049356 897561695 1077074034 1300152900 1795123390 2154148068 2692685085 3410734441 3590246780 4487808475 5385370170 6821468882 8975616950 10232203323 10770740340 13463425425 13642937764 17053672205 17951233900 20464406646 26926850850 34107344410 40928813292 51161016615 53853701700 68214688820 85268361025 102322033230 170536722050 204644066460 255805083075 341073444100 511610166150 1023220332300