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1023220101030 = 235412718633557
BaseRepresentation
bin11101110001111001010…
…10111010111110100110
310121211002222010202220220
432320330222322332212
5113231023321213110
62102021045505210
7133632230232411
oct16707452727646
93554088122826
101023220101030
11364a44087536
12146382412206
1375648b2c3aa
143774a26ab78
151b93a051370
hexee3cabafa6

1023220101030 has 128 divisors (see below), whose sum is σ = 2528543195136. Its totient is φ = 264839500800.

The previous prime is 1023220100923. The next prime is 1023220101041. The reversal of 1023220101030 is 301010223201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 287662012 + ... + 287665568.

It is an arithmetic number, because the mean of its divisors is an integer number (19754243712).

Almost surely, 21023220101030 is an apocalyptic number.

1023220101030 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 1023220101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264271597568).

1023220101030 is an abundant number, since it is smaller than the sum of its proper divisors (1505323094106).

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

1023220101030 is a wasteful number, since it uses less digits than its factorization.

1023220101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1023220101030 its reverse (301010223201), we get a palindrome (1324230324231).

It can be divided in two parts, 1023220 and 101030, that added together give a triangular number (1124250 = T1499).

The spelling of 1023220101030 in words is "one trillion, twenty-three billion, two hundred twenty million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 863 1230 1355 1626 1726 2589 2710 3557 4065 4315 5178 7114 8130 8630 10671 11111 12945 17785 21342 22222 25890 33333 35383 35570 53355 55555 66666 70766 106149 106710 111110 145837 166665 176915 212298 233873 291674 333330 353830 437511 467746 530745 701619 729185 875022 963947 1061490 1169365 1403238 1458370 1927894 2187555 2338730 2891841 3069691 3508095 4375110 4819735 5783682 6139382 7016190 9209073 9588793 9639470 14459205 15348455 18418146 19177586 28766379 28918410 30696910 39521827 46045365 47943965 57532758 79043654 92090730 95887930 118565481 125857331 143831895 197609135 237130962 251714662 287663790 377571993 395218270 592827405 629286655 755143986 831886261 1185654810 1258573310 1663772522 1887859965 2495658783 3775719930 4159431305 4991317566 8318862610 12478293915 24956587830 34107336701 68214673402 102322010103 170536683505 204644020206 341073367010 511610050515 1023220101030