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30020313322320 = 24352711410732719
BaseRepresentation
bin1101101001101101001100…
…00111001001001101010000
310221021220200020210110011020
412310312212013021031100
512413323100202303240
6143503050324115440
76215616230650236
oct664664607111520
9127256606713136
1030020313322320
1196245a8273842
12344a17a235b80
131399b989ca7b9
1475adc3112956
15370d6d2d60d0
hex1b4da61c9350

30020313322320 has 160 divisors (see below), whose sum is σ = 93415853383680. Its totient is φ = 7975067466240.

The previous prime is 30020313322211. The next prime is 30020313322361. The reversal of 30020313322320 is 2322331302003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917502921 + ... + 917535639.

It is an arithmetic number, because the mean of its divisors is an integer number (583849083648).

Almost surely, 230020313322320 is an apocalyptic number.

30020313322320 is a gapful number since it is divisible by the number (30) 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 30020313322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707926691840).

30020313322320 is an abundant number, since it is smaller than the sum of its proper divisors (63395540061360).

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

30020313322320 is a wasteful number, since it uses less digits than its factorization.

30020313322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47113 (or 47107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 30020313322320 its reverse (2322331302003), we get a palindrome (32342644624323).

The spelling of 30020313322320 in words is "thirty trillion, twenty billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 14107 16260 21680 28214 32520 32719 42321 56428 65040 65438 70535 84642 98157 112856 130876 141070 163595 169284 196314 211605 225712 261752 282140 327190 338568 392628 423210 490785 523504 564280 654380 677136 785256 846420 981570 1128560 1308760 1570512 1692840 1963140 2617520 3385680 3822997 3926280 7645994 7852560 8866849 11468991 15291988 17733698 19114985 22937982 26600547 30583976 35467396 38229970 44334245 45875964 53201094 57344955 61167952 70934792 76459940 88668490 91751928 106402188 114689910 133002735 141869584 152919880 177336980 183503856 212804376 229379820 266005470 305839760 354673960 425608752 458759640 461566933 532010940 709347920 917519280 923133866 1064021880 1384700799 1846267732 2128043760 2307834665 2769401598 3692535464 4615669330 5538803196 6923503995 7385070928 9231338660 11077606392 13847007990 18462677320 22155212784 27694015980 36925354640 55388031960 110776063920 125084638843 250169277686 375253916529 500338555372 625423194215 750507833058 1000677110744 1250846388430 1501015666116 1876269582645 2001354221488 2501692776860 3002031332232 3752539165290 5003385553720 6004062664464 7505078330580 10006771107440 15010156661160 30020313322320