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20201200032 = 2531321996257
BaseRepresentation
bin10010110100000101…
…011101100110100000
31221010212010021210210
4102310011131212200
5312333001400112
613140313454120
71313414236626
oct226405354640
957125107723
1020201200032
118627061642
123ab9411340
131b9c292200
14d98cdb516
157d3760b3c
hex4b415d9a0

20201200032 has 144 divisors (see below), whose sum is σ = 57718785600. Its totient is φ = 6183530496.

The previous prime is 20201200031. The next prime is 20201200037. The reversal of 20201200032 is 23000210202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20201199990 and 20201200017.

It is not an unprimeable number, because it can be changed into a prime (20201200031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3225448 + ... + 3231704.

It is an arithmetic number, because the mean of its divisors is an integer number (400824900).

Almost surely, 220201200032 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 20201200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28859392800).

20201200032 is an abundant number, since it is smaller than the sum of its proper divisors (37517585568).

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

20201200032 is a wasteful number, since it uses less digits than its factorization.

20201200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20201200032 its reverse (23000210202), we get a palindrome (43201410234).

The spelling of 20201200032 in words is "twenty billion, two hundred one million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 199 208 312 338 398 416 507 597 624 676 796 1014 1194 1248 1352 1592 2028 2388 2587 2704 3184 4056 4776 5174 5408 6257 6368 7761 8112 9552 10348 12514 15522 16224 18771 19104 20696 25028 31044 33631 37542 41392 50056 62088 67262 75084 81341 82784 100112 100893 124176 134524 150168 162682 200224 201786 244023 248352 269048 300336 325364 403572 488046 538096 600672 650728 807144 976092 1057433 1076192 1245143 1301456 1614288 1952184 2114866 2490286 2602912 3172299 3228576 3735429 3904368 4229732 4980572 6344598 7470858 7808736 8459464 9961144 12689196 14941716 16186859 16918928 19922288 25378392 29883432 32373718 33837856 39844576 48560577 50756784 59766864 64747436 97121154 101513568 119533728 129494872 194242308 210429167 258989744 388484616 420858334 517979488 631287501 776969232 841716668 1262575002 1553938464 1683433336 2525150004 3366866672 5050300008 6733733344 10100600016 20201200032