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10210210022010 = 2351723992387719
BaseRepresentation
bin1001010010010011111111…
…1100010000001001111010
31100011002100002110210111010
42110210333330100021322
52314241002231201020
633414301123214350
72102443344141315
oct224447774201172
940132302423433
1010210210022010
113287142417939
12118a9828173b6
13590a8481aa2b
1427426920397c
1512a8ce90dde0
hex9493ff1027a

10210210022010 has 128 divisors (see below), whose sum is σ = 27077067141120. Its totient is φ = 2450871796736.

The previous prime is 10210210021897. The next prime is 10210210022063. The reversal of 10210210022010 is 1022001201201.

10210210022010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 116352931 + ... + 116440649.

It is an arithmetic number, because the mean of its divisors is an integer number (211539587040).

Almost surely, 210210210022010 is an apocalyptic number.

10210210022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210210022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538533570560).

10210210022010 is an abundant number, since it is smaller than the sum of its proper divisors (16866857119110).

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

10210210022010 is a wasteful number, since it uses less digits than its factorization.

10210210022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97692.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210210022010 its reverse (1022001201201), we get a palindrome (11232211223211).

The spelling of 10210210022010 in words is "ten trillion, two hundred ten billion, two hundred ten million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 3910 5865 9923 11730 19846 29769 49615 59538 87719 99230 148845 168691 175438 228229 263157 297690 337382 438595 456458 506073 526314 684687 843455 877190 1012146 1141145 1315785 1369374 1491223 1686910 2017537 2282290 2530365 2631570 2982446 3423435 3879893 4035074 4473669 5060730 6052611 6846870 7456115 7759786 8947338 10087685 11639679 12105222 14912230 19399465 20175370 22368345 23279358 30263055 34298129 38798930 44736690 58198395 60526110 68596258 102894387 116396790 171490645 205788774 342981290 514471935 870435637 1028943870 1740871274 2611306911 4352178185 5222613822 8704356370 13056534555 14797405829 20020019651 26113069110 29594811658 40040039302 44392217487 60060058953 73987029145 88784434974 100100098255 120120117906 147974058290 200200196510 221961087435 300300294765 340340334067 443922174870 600600589530 680680668134 1021021002201 1701701670335 2042042004402 3403403340670 5105105011005 10210210022010