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212020031088 = 2435148136821
BaseRepresentation
bin1100010101110101100…
…0001110111001110000
3202021021001002112100000
43011131120032321300
511433204111443323
6241222313030000
721214024346265
oct3053530167160
9667231075300
10212020031088
1181a0a864498
12351110b5300
1316cbb6782c8
14a39463526c
1557ad84ee43
hex315d60ee70

212020031088 has 120 divisors (see below), whose sum is σ = 615770181936. Its totient is φ = 70623705600.

The previous prime is 212020031017. The next prime is 212020031089. The reversal of 212020031088 is 880130020212.

212020031088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020031089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5739718 + ... + 5776538.

Almost surely, 2212020031088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020031088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307885090968).

212020031088 is an abundant number, since it is smaller than the sum of its proper divisors (403750150848).

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

212020031088 is a wasteful number, since it uses less digits than its factorization.

212020031088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38325 (or 38307 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 212020031088 in words is "two hundred twelve billion, twenty million, thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1481 1944 2962 3888 4443 5924 8886 11848 13329 17772 23696 26658 35544 36821 39987 53316 71088 73642 79974 106632 110463 119961 147284 159948 213264 220926 239922 294568 319896 331389 359883 441852 479844 589136 639792 662778 719766 883704 959688 994167 1325556 1439532 1767408 1919376 1988334 2651112 2879064 2982501 3976668 5302224 5758128 5965002 7953336 8947503 11930004 15906672 17895006 23860008 35790012 47720016 54531901 71580024 109063802 143160048 163595703 218127604 327191406 436255208 490787109 654382812 872510416 981574218 1308765624 1472361327 1963148436 2617531248 2944722654 3926296872 4417083981 5889445308 7852593744 8834167962 11778890616 13251251943 17668335924 23557781232 26502503886 35336671848 53005007772 70673343696 106010015544 212020031088