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10021001220 = 22325174376159
BaseRepresentation
bin10010101010100110…
…00101100000000100
3221212101021121101100
421111103011200010
5131010334014340
64334212500100
7503221050666
oct112523054004
927771247340
1010021001220
11428265959a
121b3801a630
13c39161529
146b0c6c536
153d9b5a830
hex2554c5804

10021001220 has 144 divisors (see below), whose sum is σ = 32934021120. Its totient is φ = 2456552448.

The previous prime is 10021001201. The next prime is 10021001239. The reversal of 10021001220 is 2210012001.

It is an interprime number because it is at equal distance from previous prime (10021001201) and next prime (10021001239).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93501 + ... + 169659.

It is an arithmetic number, because the mean of its divisors is an integer number (228708480).

Almost surely, 210021001220 is an apocalyptic number.

10021001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467010560).

10021001220 is an abundant number, since it is smaller than the sum of its proper divisors (22913019900).

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

10021001220 is a wasteful number, since it uses less digits than its factorization.

10021001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76234 (or 76229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021001220 its reverse (2210012001), we get a palindrome (12231013221).

The spelling of 10021001220 in words is "ten billion, twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 10965 13158 14620 21930 26316 32895 43860 65790 76159 131580 152318 228477 304636 380795 456954 685431 761590 913908 1142385 1294703 1370862 1523180 2284770 2589406 2741724 3274837 3427155 3884109 4569540 5178812 6473515 6549674 6854310 7768218 9824511 11652327 12947030 13099348 13708620 15536436 16374185 19420545 19649022 23304654 25894060 29473533 32748370 38841090 39298044 46609308 49122555 55672229 58261635 58947066 65496740 77682180 98245110 111344458 116523270 117894132 147367665 167016687 196490220 222688916 233046540 278361145 294735330 334033374 501050061 556722290 589470660 668066748 835083435 1002100122 1113444580 1670166870 2004200244 2505250305 3340333740 5010500610 10021001220