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33220233302130 = 2335722976754773
BaseRepresentation
bin1111000110110101100000…
…01101001001000001110010
311100121211020011202222001000
413203122300031021001302
513323240014211132010
6154353055310422430
76666040231002330
oct743326015110162
9140554204688030
1033220233302130
11a648692716326
123886378b01a16
13156c8680b0234
1482bc2161ab50
153c9203e447c0
hex1e36b0349072

33220233302130 has 128 divisors (see below), whose sum is σ = 101684724595200. Its totient is φ = 7560038022912.

The previous prime is 33220233302093. The next prime is 33220233302147. The reversal of 33220233302130 is 3120333202233.

33220233302130 is a `hidden beast` number, since 3 + 3 + 220 + 2 + 3 + 3 + 302 + 130 = 666.

It is a super-2 number, since 2×332202333021302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33220233302094 and 33220233302103.

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, 37944577 + ... + 38810196.

It is an arithmetic number, because the mean of its divisors is an integer number (794411910900).

Almost surely, 233220233302130 is an apocalyptic number.

33220233302130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33220233302130 is an abundant number, since it is smaller than the sum of its proper divisors (68464491293070).

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

33220233302130 is a wasteful number, since it uses less digits than its factorization.

33220233302130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76755025 (or 76755019 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 33220233302130 its reverse (3120333202233), we get a palindrome (36340566504363).

The spelling of 33220233302130 in words is "thirty-three trillion, two hundred twenty billion, two hundred thirty-three million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 229 270 315 378 458 630 687 945 1145 1374 1603 1890 2061 2290 3206 3435 4122 4809 6183 6870 8015 9618 10305 12366 14427 16030 20610 24045 28854 30915 43281 48090 61830 72135 86562 144270 216405 432810 76754773 153509546 230264319 383773865 460528638 537283411 690792957 767547730 1074566822 1151321595 1381585914 1611850233 2072378871 2302643190 2686417055 3223700466 3453964785 4144757742 4835550699 5372834110 6907929570 8059251165 9671101398 10361894355 14506652097 16118502330 17576843017 20723788710 24177753495 29013304194 35153686034 48355506990 52730529051 72533260485 87884215085 105461058102 123037901119 145066520970 158191587153 175768430170 246075802238 263652645255 316383174306 369113703357 474574761459 527305290510 615189505595 738227406714 790957935765 949149522918 1107341110071 1230379011190 1581915871530 1845568516785 2214682220142 2372873807295 3322023330213 3691137033570 4745747614590 5536705550355 6644046660426 11073411100710 16610116651065 33220233302130