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10320244020 = 223554745181
BaseRepresentation
bin10011001110010001…
…00110110100110100
3222122020100201100000
421213020212310310
5132113440302040
64424022351300
7513513424662
oct114710466464
928566321300
1010320244020
114416566099
12200028b530
13c86155788
146dc8c5c32
1540606a130
hex267226d34

10320244020 has 144 divisors (see below), whose sum is σ = 33155635968. Its totient is φ = 2693450880.

The previous prime is 10320244001. The next prime is 10320244073. The reversal of 10320244020 is 2044202301.

10320244020 is a `hidden beast` number, since 1 + 0 + 3 + 202 + 440 + 20 = 666.

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 = 10320243984 and 10320244002.

It is a congruent number.

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, 205830 + ... + 251010.

It is an arithmetic number, because the mean of its divisors is an integer number (230247472).

Almost surely, 210320244020 is an apocalyptic number.

10320244020 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 10320244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577817984).

10320244020 is an abundant number, since it is smaller than the sum of its proper divisors (22835391948).

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

10320244020 is a wasteful number, since it uses less digits than its factorization.

10320244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45252 (or 45238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10320244020 its reverse (2044202301), we get a palindrome (12364446321).

The spelling of 10320244020 in words is "ten billion, three hundred twenty million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 243 270 282 324 405 423 470 486 540 564 705 810 846 940 972 1215 1269 1410 1620 1692 2115 2430 2538 2820 3807 4230 4860 5076 6345 7614 8460 11421 12690 15228 19035 22842 25380 38070 45181 45684 57105 76140 90362 114210 135543 180724 225905 228420 271086 406629 451810 542172 677715 813258 903620 1219887 1355430 1626516 2033145 2123507 2439774 2710860 3659661 4066290 4247014 4879548 6099435 6370521 7319322 8132580 8494028 10617535 10978983 12198870 12741042 14638644 18298305 19111563 21235070 21957966 24397740 25482084 31852605 36596610 38223126 42470140 43915932 54894915 57334689 63705210 73193220 76446252 95557815 109789830 114669378 127410420 172004067 191115630 219579660 229338756 286673445 344008134 382231260 516012201 573346890 688016268 860020335 1032024402 1146693780 1720040670 2064048804 2580061005 3440081340 5160122010 10320244020