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103321303020 = 223251371621893
BaseRepresentation
bin110000000111001101…
…1011111011111101100
3100212200122021000110200
41200032123133133230
53143100223144040
6115244250033500
710315253404455
oct1401633373754
9325618230420
10103321303020
113a900200231
1218036118890
1399879402c0
1450021c412c
152a4aae9630
hex180e6df7ec

103321303020 has 144 divisors (see below), whose sum is σ = 342270556992. Its totient is φ = 25074685440.

The previous prime is 103321303003. The next prime is 103321303039. The reversal of 103321303020 is 20303123301.

103321303020 is a `hidden beast` number, since 1 + 0 + 332 + 1 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×1033213030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103321302984 and 103321303002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144807 + ... + 477086.

It is an arithmetic number, because the mean of its divisors is an integer number (2376878868).

Almost surely, 2103321303020 is an apocalyptic number.

103321303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321303020 is an abundant number, since it is smaller than the sum of its proper divisors (238949253972).

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

103321303020 is a wasteful number, since it uses less digits than its factorization.

103321303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621992 (or 621987 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103321303020 its reverse (20303123301), we get a palindrome (123624426321).

It can be divided in two parts, 103 and 321303020, that added together give a palindrome (321303123).

The spelling of 103321303020 in words is "one hundred three billion, three hundred twenty-one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2556 2769 3195 3692 4260 4615 5538 6390 8307 9230 11076 12780 13845 16614 18460 27690 33228 41535 55380 83070 166140 621893 1243786 1865679 2487572 3109465 3731358 5597037 6218930 7462716 8084609 9328395 11194074 12437860 16169218 18656790 22388148 24253827 27985185 32338436 37313580 40423045 44154403 48507654 55970370 72761481 80846090 88308806 97015308 111940740 121269135 132463209 145522962 161692180 176617612 220772015 242538270 264926418 291045924 363807405 397389627 441544030 485076540 529852836 574007239 662316045 727614810 794779254 883088060 1148014478 1324632090 1455229620 1589558508 1722021717 1986948135 2296028956 2649264180 2870036195 3444043434 3973896270 5166065151 5740072390 6888086868 7947792540 8610108585 10332130302 11480144780 17220217170 20664260604 25830325755 34440434340 51660651510 103321303020