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10120221002122 = 27111979149929207
BaseRepresentation
bin1001001101000100110000…
…1011011000100110001010
31022211111001121020221020121
42103101030023120212022
52311302203034031442
633305055414213454
72063106340115620
oct223211413304612
938744047227217
1010120221002122
113251a63a16320
12117544965428a
1358544307147a
1426db6d963510
151283b4500967
hex9344c2d898a

10120221002122 has 128 divisors (see below), whose sum is σ = 20188569600000. Its totient is φ = 3685549533120.

The previous prime is 10120221002113. The next prime is 10120221002167. The reversal of 10120221002122 is 22120012202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10120221002096 and 10120221002105.

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, 346485243 + ... + 346514449.

It is an arithmetic number, because the mean of its divisors is an integer number (157723200000).

Almost surely, 210120221002122 is an apocalyptic number.

10120221002122 is a deficient number, since it is larger than the sum of its proper divisors (10068348597878).

10120221002122 is a wasteful number, since it uses less digits than its factorization.

10120221002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30824.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120221002122 its reverse (22120012202101), we get a palindrome (32240233204223).

The spelling of 10120221002122 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 77 79 133 154 158 209 266 418 553 869 1106 1463 1499 1501 1738 2926 2998 3002 6083 10493 10507 12166 16489 16511 20986 21014 28481 29207 32978 33022 56962 58414 115423 115577 118421 199367 204449 230846 231154 236842 313291 321277 398734 408898 554933 626582 642554 828947 1109866 1302631 1657894 2193037 2248939 2249999 2307353 2605262 3884531 4386074 4497878 4499998 4614706 6104263 7769062 9118417 12208526 15749993 16151471 18236834 24749989 25380883 31499986 32302942 42729841 43781293 43839707 49499978 50761766 85459682 87562586 87679414 173249923 177666181 306469051 306877949 346499846 355332362 481594223 482236777 612938102 613755898 831844567 963188446 964473554 1663689134 3371159561 3375657439 3458722147 5822911969 6742319122 6751314878 6917444294 9150290237 11645823938 18300580474 24211055029 38045943617 48422110058 64052031659 65715720793 76091887234 128104063318 131431441586 266321605319 460010045551 532643210638 722872928723 920020091102 1445745857446 5060110501061 10120221002122