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1012021012002 = 2371113317531551
BaseRepresentation
bin11101011101000010010…
…01110010011000100010
310120202012111002002212210
432232201021302120202
5113040104334341002
62052525510302550
7133054552445160
oct16564111623042
93522174062783
101012021012002
11360217529160
12144177957a56
13745828a92b0
1436da6b74230
151b4d1c8796c
hexeba1272622

1012021012002 has 128 divisors (see below), whose sum is σ = 2726172868608. Its totient is φ = 241876512000.

The previous prime is 1012021012001. The next prime is 1012021012099. The reversal of 1012021012002 is 2002101202101.

It is not an unprimeable number, because it can be changed into a prime (1012021012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1638127 + ... + 2169677.

It is an arithmetic number, because the mean of its divisors is an integer number (21298225536).

Almost surely, 21012021012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012021012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363086434304).

1012021012002 is an abundant number, since it is smaller than the sum of its proper divisors (1714151856606).

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

1012021012002 is a wasteful number, since it uses less digits than its factorization.

1012021012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531904.

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

Adding to 1012021012002 its reverse (2002101202101), we get a palindrome (3014122214103).

It can be divided in two parts, 101202101 and 2002, that multiplied together give a palindrome (202606606202).

The spelling of 1012021012002 in words is "one trillion, twelve billion, twenty-one million, twelve thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 317 429 462 546 634 858 951 1001 1902 2002 2219 3003 3487 4121 4438 6006 6657 6974 8242 10461 12363 13314 20922 24409 24726 28847 45331 48818 57694 73227 86541 90662 135993 146454 173082 271986 317317 531551 634634 951951 1063102 1594653 1903902 3189306 3720857 5847061 6910163 7441714 11162571 11694122 13820326 17541183 20730489 22325142 35082366 40929427 41460978 48371141 76011793 81858854 96742282 122788281 145113423 152023586 168501667 228035379 245576562 290226846 337003334 456070758 505505001 532082551 1011010002 1064165102 1179511669 1596247653 1853518337 2190521671 2359023338 3192495306 3538535007 3707036674 4381043342 5560555011 6571565013 7077070014 11121110022 12974628359 13143130026 15333651697 24095738381 25949256718 30667303394 38923885077 46000955091 48191476762 72287215143 77847770154 92001910182 144574430286 168670168667 337340337334 506010506001 1012021012002